<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://en.bharatpedia.org/w/index.php?action=history&amp;feed=atom&amp;title=Radha_Laha</id>
	<title>Radha Laha - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.bharatpedia.org/w/index.php?action=history&amp;feed=atom&amp;title=Radha_Laha"/>
	<link rel="alternate" type="text/html" href="https://en.bharatpedia.org/w/index.php?title=Radha_Laha&amp;action=history"/>
	<updated>2026-08-29T11:19:04Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.6</generator>
	<entry>
		<id>https://en.bharatpedia.org/w/index.php?title=Radha_Laha&amp;diff=319142&amp;oldid=prev</id>
		<title>UpdateBot: robot: Update article (please report if you notice any mistake or error in this edit)</title>
		<link rel="alternate" type="text/html" href="https://en.bharatpedia.org/w/index.php?title=Radha_Laha&amp;diff=319142&amp;oldid=prev"/>
		<updated>2022-05-11T09:32:38Z</updated>

		<summary type="html">&lt;p&gt;robot: Update article (please &lt;a href=&quot;/wiki/User_talk:UpdateBot&quot; title=&quot;User talk:UpdateBot&quot;&gt;report&lt;/a&gt; if you notice any mistake or error in this edit)&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:02, 11 May 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l17&quot;&gt;Line 17:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 17:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Radha Govind Laha&amp;#039;&amp;#039;&amp;#039; (1 October 1930 – 14 July 1999) was an Indian probabilist, statistician, and mathematician, known for his work in probability theory,&amp;lt;ref name=LR79&amp;gt;{{Cite book|author=R. G. Laha and V. K. Rohatgi|year=1979|pages=557|title=Probability Theory|publisher=Wiley|location=New York.}}&amp;lt;/ref&amp;gt; characteristic functions,&amp;lt;ref name=LL1&amp;gt;{{Cite book |author=E. Lukacs and R. G. Laha|title=Applications of Characteristic Functions (Griffin&amp;#039;s Statistical Monographs &amp;amp; Courses, No. 14)|location=New York|publisher=T. Hafner Pub. Co.|year=1964 |pages=202}}&amp;lt;/ref&amp;gt; and characterisation of distributions.&amp;lt;ref name=LLN60&amp;gt;Laha, Lukacs, and Newman (1960)&amp;lt;/ref&amp;gt;&amp;lt;ref name=Laha&amp;gt;Laha (1957,1958a,1958b,1959,1991,1998)&amp;lt;/ref&amp;gt;&amp;lt;ref name=LL2&amp;gt;Laha and Lukacs (1960,1962,1977)&amp;lt;/ref&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Radha Govind Laha&amp;#039;&amp;#039;&amp;#039; (1 October 1930 – 14 July 1999) was an Indian probabilist, statistician, and mathematician, known for his work in probability theory,&amp;lt;ref name=LR79&amp;gt;{{Cite book|author=R. G. Laha and V. K. Rohatgi|year=1979|pages=557|title=Probability Theory|publisher=Wiley|location=New York.}}&amp;lt;/ref&amp;gt; characteristic functions,&amp;lt;ref name=LL1&amp;gt;{{Cite book |author=E. Lukacs and R. G. Laha|title=Applications of Characteristic Functions (Griffin&amp;#039;s Statistical Monographs &amp;amp; Courses, No. 14)|location=New York|publisher=T. Hafner Pub. Co.|year=1964 |pages=202}}&amp;lt;/ref&amp;gt; and characterisation of distributions.&amp;lt;ref name=LLN60&amp;gt;Laha, Lukacs, and Newman (1960)&amp;lt;/ref&amp;gt;&amp;lt;ref name=Laha&amp;gt;Laha (1957,1958a,1958b,1959,1991,1998)&amp;lt;/ref&amp;gt;&amp;lt;ref name=LL2&amp;gt;Laha and Lukacs (1960,1962,1977)&amp;lt;/ref&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;   &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Biography==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Biography== &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Early life===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Early life===  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;He was born in Calcutta, India and he was a student of [[C. R. Rao]]&amp;lt;ref name=MathG&amp;gt;{{MathGenealogy|id=48987}}&amp;lt;/ref&amp;gt; at [[Calcutta University]], where in 1957 he earned a doctorate in analytical probability theory from the [[Indian Statistical Institute]]. His dissertation was entitled &amp;#039;&amp;#039;Some Characterization Problems in Probability Theory and Mathematical Statistics&amp;#039;&amp;#039;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;He was born in Calcutta, India and he was a student of [[C. R. Rao]]&amp;lt;ref name=MathG&amp;gt;{{MathGenealogy|id=48987}}&amp;lt;/ref&amp;gt; at [[Calcutta University]], where in 1957 he earned a doctorate in analytical probability theory from the [[Indian Statistical Institute]]. His dissertation was entitled &amp;#039;&amp;#039;Some Characterization Problems in Probability Theory and Mathematical Statistics&amp;#039;&amp;#039;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l28&quot;&gt;Line 28:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 28:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Laha was the author of several classical texts on probability theory&amp;lt;ref name=LR79/&amp;gt;&amp;lt;ref name=LL1/&amp;gt; and statistics&amp;lt;ref&amp;gt;{{Cite book|author=I. M. Chakrevarti, R. G. Laha and J. Roy|year=1967|title=Handbook of Methods of Applied Statistics I: Techniques of computation, descriptive methods, and statistical inference|publisher=Wiley|location=New York.}}&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;{{Cite book|author=I. M. Chakrevarti, R. G. Laha and J. Roy|year=1967|title=Handbook of Methods of Applied Statistics II: Planning of surveys and experiments|publisher=Wiley|location=New York.}}&amp;lt;/ref&amp;gt; and numerous publications in journals. He was an honoured Fellow of the [[Institute of Mathematical Statistics]]&amp;lt;ref&amp;gt;{{cite web| url= http://www.imstat.org/awards/honored_fellows.htm | title = Honored IMS Fellows | access-date = 1 March 2011}}&amp;lt;/ref&amp;gt; and an elected member of the [[International Statistical Institute]].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Laha was the author of several classical texts on probability theory&amp;lt;ref name=LR79/&amp;gt;&amp;lt;ref name=LL1/&amp;gt; and statistics&amp;lt;ref&amp;gt;{{Cite book|author=I. M. Chakrevarti, R. G. Laha and J. Roy|year=1967|title=Handbook of Methods of Applied Statistics I: Techniques of computation, descriptive methods, and statistical inference|publisher=Wiley|location=New York.}}&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;{{Cite book|author=I. M. Chakrevarti, R. G. Laha and J. Roy|year=1967|title=Handbook of Methods of Applied Statistics II: Planning of surveys and experiments|publisher=Wiley|location=New York.}}&amp;lt;/ref&amp;gt; and numerous publications in journals. He was an honoured Fellow of the [[Institute of Mathematical Statistics]]&amp;lt;ref&amp;gt;{{cite web| url= http://www.imstat.org/awards/honored_fellows.htm | title = Honored IMS Fellows | access-date = 1 March 2011}}&amp;lt;/ref&amp;gt; and an elected member of the [[International Statistical Institute]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Laha was particularly interested in characterisations of the normal distribution.&amp;lt;ref name=Laha-bio2 /&amp;gt;&amp;lt;ref&amp;gt;Radha G. Laha (obituary), The Toledo Blade, 18 July 1999.&amp;lt;/ref&amp;gt; One of his well-known results is his disproof of a long-standing conjecture: that the ratio of two independent, identically distributed random variables is Cauchy distributed if and only if the variables have normal distributions. Laha became known for disproving this conjecture.&amp;lt;ref&amp;gt;{{cite journal|journal = Proceedings of the National Academy of Sciences | author = R. G. Laha | year = 1958 | volume = 44 | pages = 222–223 | title = An Example of a Nonnormal Distribution where the Quotient Follows the Cauchy Law| url = http://www.pnas.org/content/44/2/222.full.pdf | issue=2|doi = 10.1073/pnas.44.2.222| pmc = 335393 | pmid=16590171}}&amp;lt;/ref&amp;gt; Laha also proved several generalisations of the classical characterisation of normal sample distribution by the independence of sample mean and sample variance.&amp;lt;ref&amp;gt;Laha (1991)&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Laha was particularly interested in characterisations of the normal distribution.&amp;lt;ref name=Laha-bio2 /&amp;gt;&amp;lt;ref&amp;gt;Radha G. Laha (obituary), The Toledo Blade, 18 July 1999.&amp;lt;/ref&amp;gt; One of his well-known results is his disproof of a long-standing conjecture: that the ratio of two independent, identically distributed random variables is Cauchy distributed if and only if the variables have normal distributions. Laha became known for disproving this conjecture.&amp;lt;ref&amp;gt;{{cite journal|journal = Proceedings of the National Academy of Sciences | author = R. G. Laha | year = 1958 | volume = 44 | pages = 222–223 | title = An Example of a Nonnormal Distribution where the Quotient Follows the Cauchy Law| url = http://www.pnas.org/content/44/2/222.full.pdf | issue=2|doi = 10.1073/pnas.44.2.222| pmc = 335393 | pmid=16590171&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;| bibcode = 1958PNAS...44..222L | doi-access = free &lt;/ins&gt;}}&amp;lt;/ref&amp;gt; Laha also proved several generalisations of the classical characterisation of normal sample distribution by the independence of sample mean and sample variance.&amp;lt;ref&amp;gt;Laha (1991)&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;   &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Philanthropist===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Philanthropist===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l51&quot;&gt;Line 51:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 51:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Laha, R. G. (1991). A characterisation of Gaussian law in Hilbert space, &amp;#039;&amp;#039;[[Aequationes Mathematicae]]&amp;#039;&amp;#039;  41 (1991), no. 1, 85–93.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Laha, R. G. (1991). A characterisation of Gaussian law in Hilbert space, &amp;#039;&amp;#039;[[Aequationes Mathematicae]]&amp;#039;&amp;#039;  41 (1991), no. 1, 85–93.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | last2 = Lukacs | first2 = E. | year = 1977 | title = On a functional equation which occurs in a characterization problem | journal = [[Aequationes Mathematicae]] | volume = 16 | issue = 3| pages = 259–274 | doi = 10.1007/BF01836038 | s2cid = 122866588 }}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | last2 = Lukacs | first2 = E. | year = 1977 | title = On a functional equation which occurs in a characterization problem | journal = [[Aequationes Mathematicae]] | volume = 16 | issue = 3| pages = 259–274 | doi = 10.1007/BF01836038 | s2cid = 122866588 }}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | year = 1964 | title = On the decomposition of a class of functions of bounded variation | journal = Can. J. Math. | volume = 16 | pages = 479–484 | doi = 10.4153/CJM-1964-049-8 }}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | year = 1964 | title = On the decomposition of a class of functions of bounded variation | journal = Can. J. Math. | volume = 16 | pages = 479–484 | doi = 10.4153/CJM-1964-049-8 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;| s2cid = 124766763 &lt;/ins&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | last2 = Lukacs | first2 = E. | year = 1962 | title = On a factorization of characteristic functions which have a finite number of derivatives at the origin | journal = Publ. Inst. Statist. Univ. Paris | volume = 11 | pages = 221–224 }}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | last2 = Lukacs | first2 = E. | year = 1962 | title = On a factorization of characteristic functions which have a finite number of derivatives at the origin | journal = Publ. Inst. Statist. Univ. Paris | volume = 11 | pages = 221–224 }}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | last2 = Lukacs | first2 = E. | year = 1964 | title = On a problem connected with quadratic regression | journal = Biometrika | volume = 47 | issue = 3–4| pages = 335–343 | doi=10.1093/biomet/47.3-4.335}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | last2 = Lukacs | first2 = E. | year = 1964 | title = On a problem connected with quadratic regression | journal = Biometrika | volume = 47 | issue = 3–4| pages = 335–343 | doi=10.1093/biomet/47.3-4.335}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l58&quot;&gt;Line 58:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 58:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | year = 1959 | title = On the laws of Cauchy and Gauss | journal = Annals of Mathematical Statistics | volume = 30 | issue = 4| pages = 1165–1174 | doi = 10.1214/aoms/1177706102 | doi-access = free }}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | year = 1959 | title = On the laws of Cauchy and Gauss | journal = Annals of Mathematical Statistics | volume = 30 | issue = 4| pages = 1165–1174 | doi = 10.1214/aoms/1177706102 | doi-access = free }}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | year = 1958a | title = On a factorization theorem in the theory of analytic characteristic functions | journal = Annals of Mathematical Statistics | volume = 29 | issue = 3| pages = 922–926 | doi = 10.1214/aoms/1177706553 | doi-access = free }}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | year = 1958a | title = On a factorization theorem in the theory of analytic characteristic functions | journal = Annals of Mathematical Statistics | volume = 29 | issue = 3| pages = 922–926 | doi = 10.1214/aoms/1177706553 | doi-access = free }}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | year = 1958b | title = An example of a nonnormal distribution where the quotient follows the Cauchy law | journal = Proc. Natl. Acad. Sci. USA | volume = 44 | issue = 2| pages = 222–223 | doi = 10.1073/pnas.44.2.222 | pmc = 335393 | pmid=16590171}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | year = 1958b | title = An example of a nonnormal distribution where the quotient follows the Cauchy law | journal = Proc. Natl. Acad. Sci. USA | volume = 44 | issue = 2| pages = 222–223 | doi = 10.1073/pnas.44.2.222 | pmc = 335393 | pmid=16590171&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;| bibcode = 1958PNAS...44..222L | doi-access = free &lt;/ins&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Roy | first1 = J. | last2 = Laha | first2 = R. G. | year = 1957 | title = On partially balanced linked block designs | journal = Annals of Mathematical Statistics | volume = 28 | issue = 2| pages = 488–493 | doi = 10.1214/aoms/1177706977 | doi-access = free }}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Roy | first1 = J. | last2 = Laha | first2 = R. G. | year = 1957 | title = On partially balanced linked block designs | journal = Annals of Mathematical Statistics | volume = 28 | issue = 2| pages = 488–493 | doi = 10.1214/aoms/1177706977 | doi-access = free }}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | year = 1957 | title = On some characterization problems connected with linear structural relations | journal = Annals of Mathematical Statistics | volume = 28 | issue = 2| pages = 405–414 | doi = 10.1214/aoms/1177706968 | doi-access = free }}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal | last1 = Laha | first1 = R. G. | year = 1957 | title = On some characterization problems connected with linear structural relations | journal = Annals of Mathematical Statistics | volume = 28 | issue = 2| pages = 405–414 | doi = 10.1214/aoms/1177706968 | doi-access = free }}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

&lt;!-- diff cache key bharatpedia-enwiki:diff:1.41:old-252885:rev-319142:php=table --&gt;
&lt;/table&gt;</summary>
		<author><name>UpdateBot</name></author>
	</entry>
	<entry>
		<id>https://en.bharatpedia.org/w/index.php?title=Radha_Laha&amp;diff=252885&amp;oldid=prev</id>
		<title>CleanupBot: clean up</title>
		<link rel="alternate" type="text/html" href="https://en.bharatpedia.org/w/index.php?title=Radha_Laha&amp;diff=252885&amp;oldid=prev"/>
		<updated>2022-01-04T07:14:11Z</updated>

		<summary type="html">&lt;p&gt;clean up&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 12:44, 4 January 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l17&quot;&gt;Line 17:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 17:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Radha Govind Laha&amp;#039;&amp;#039;&amp;#039; (1 October 1930 – 14 July 1999) was an Indian probabilist, statistician, and mathematician, known for his work in probability theory,&amp;lt;ref name=LR79&amp;gt;{{Cite book|author=R. G. Laha and V. K. Rohatgi|year=1979|pages=557|title=Probability Theory|publisher=Wiley|location=New York.}}&amp;lt;/ref&amp;gt; characteristic functions,&amp;lt;ref name=LL1&amp;gt;{{Cite book |author=E. Lukacs and R. G. Laha|title=Applications of Characteristic Functions (Griffin&amp;#039;s Statistical Monographs &amp;amp; Courses, No. 14)|location=New York|publisher=T. Hafner Pub. Co.|year=1964 |pages=202}}&amp;lt;/ref&amp;gt; and characterisation of distributions.&amp;lt;ref name=LLN60&amp;gt;Laha, Lukacs, and Newman (1960)&amp;lt;/ref&amp;gt;&amp;lt;ref name=Laha&amp;gt;Laha (1957,1958a,1958b,1959,1991,1998)&amp;lt;/ref&amp;gt;&amp;lt;ref name=LL2&amp;gt;Laha and Lukacs (1960,1962,1977)&amp;lt;/ref&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Radha Govind Laha&amp;#039;&amp;#039;&amp;#039; (1 October 1930 – 14 July 1999) was an Indian probabilist, statistician, and mathematician, known for his work in probability theory,&amp;lt;ref name=LR79&amp;gt;{{Cite book|author=R. G. Laha and V. K. Rohatgi|year=1979|pages=557|title=Probability Theory|publisher=Wiley|location=New York.}}&amp;lt;/ref&amp;gt; characteristic functions,&amp;lt;ref name=LL1&amp;gt;{{Cite book |author=E. Lukacs and R. G. Laha|title=Applications of Characteristic Functions (Griffin&amp;#039;s Statistical Monographs &amp;amp; Courses, No. 14)|location=New York|publisher=T. Hafner Pub. Co.|year=1964 |pages=202}}&amp;lt;/ref&amp;gt; and characterisation of distributions.&amp;lt;ref name=LLN60&amp;gt;Laha, Lukacs, and Newman (1960)&amp;lt;/ref&amp;gt;&amp;lt;ref name=Laha&amp;gt;Laha (1957,1958a,1958b,1959,1991,1998)&amp;lt;/ref&amp;gt;&amp;lt;ref name=LL2&amp;gt;Laha and Lukacs (1960,1962,1977)&amp;lt;/ref&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;   &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Biography== &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Biography==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Early life===  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Early life===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;He was born in Calcutta, India and he was a student of [[C. R. Rao]]&amp;lt;ref name=MathG&amp;gt;{{MathGenealogy|id=48987}}&amp;lt;/ref&amp;gt; at [[Calcutta University]], where in 1957 he earned a doctorate in analytical probability theory from the [[Indian Statistical Institute]]. His dissertation was entitled &amp;#039;&amp;#039;Some Characterization Problems in Probability Theory and Mathematical Statistics&amp;#039;&amp;#039;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;He was born in Calcutta, India and he was a student of [[C. R. Rao]]&amp;lt;ref name=MathG&amp;gt;{{MathGenealogy|id=48987}}&amp;lt;/ref&amp;gt; at [[Calcutta University]], where in 1957 he earned a doctorate in analytical probability theory from the [[Indian Statistical Institute]]. His dissertation was entitled &amp;#039;&amp;#039;Some Characterization Problems in Probability Theory and Mathematical Statistics&amp;#039;&amp;#039;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;

&lt;!-- diff cache key bharatpedia-enwiki:diff:1.41:old-150471:rev-252885:php=table --&gt;
&lt;/table&gt;</summary>
		<author><name>CleanupBot</name></author>
	</entry>
	<entry>
		<id>https://en.bharatpedia.org/w/index.php?title=Radha_Laha&amp;diff=150471&amp;oldid=prev</id>
		<title>imported&gt;DEFCON5: /* Biography */ removed MOS:PUFFERY</title>
		<link rel="alternate" type="text/html" href="https://en.bharatpedia.org/w/index.php?title=Radha_Laha&amp;diff=150471&amp;oldid=prev"/>
		<updated>2021-06-19T14:35:24Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Biography: &lt;/span&gt; removed &lt;a href=&quot;/w/index.php?title=MOS:PUFFERY&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;MOS:PUFFERY (page does not exist)&quot;&gt;MOS:PUFFERY&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{EngvarB|date=September 2014}}&lt;br /&gt;
{{Use dmy dates|date=September 2014}}&lt;br /&gt;
{{Infobox scientist&lt;br /&gt;
|name              = Laha, Radha&lt;br /&gt;
|birth_name        = Radha Govind Laha &lt;br /&gt;
|birth_date        = 1 October 1930&lt;br /&gt;
|birth_place       = [[Calcutta]], India&lt;br /&gt;
|death_date        = {{d-da|14 July 1999|1 October 1930}}&lt;br /&gt;
|death_place       = [[Perrysburg, Ohio|Perrysburg]], Ohio&lt;br /&gt;
|fields            = Mathematician, [[List of mathematical probabilists|Probabilist]], Statistician&lt;br /&gt;
|workplaces        = [[Indian Statistical Institute]], [[Calcutta]] &amp;lt;br /&amp;gt; [[Catholic University of America]] &amp;lt;br /&amp;gt; [[Bowling Green State University]]&lt;br /&gt;
|alma_mater        = [[Indian Statistical Institute]], [[Calcutta University]]&lt;br /&gt;
|doctoral_advisor  = [[C. R. Rao]]&lt;br /&gt;
|known_for         = Work in Characteristic Functions, Probability Theory&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Radha Govind Laha&amp;#039;&amp;#039;&amp;#039; (1 October 1930 – 14 July 1999) was an Indian probabilist, statistician, and mathematician, known for his work in probability theory,&amp;lt;ref name=LR79&amp;gt;{{Cite book|author=R. G. Laha and V. K. Rohatgi|year=1979|pages=557|title=Probability Theory|publisher=Wiley|location=New York.}}&amp;lt;/ref&amp;gt; characteristic functions,&amp;lt;ref name=LL1&amp;gt;{{Cite book |author=E. Lukacs and R. G. Laha|title=Applications of Characteristic Functions (Griffin&amp;#039;s Statistical Monographs &amp;amp; Courses, No. 14)|location=New York|publisher=T. Hafner Pub. Co.|year=1964 |pages=202}}&amp;lt;/ref&amp;gt; and characterisation of distributions.&amp;lt;ref name=LLN60&amp;gt;Laha, Lukacs, and Newman (1960)&amp;lt;/ref&amp;gt;&amp;lt;ref name=Laha&amp;gt;Laha (1957,1958a,1958b,1959,1991,1998)&amp;lt;/ref&amp;gt;&amp;lt;ref name=LL2&amp;gt;Laha and Lukacs (1960,1962,1977)&amp;lt;/ref&amp;gt;  &lt;br /&gt;
 &lt;br /&gt;
==Biography==  &lt;br /&gt;
===Early life=== &lt;br /&gt;
He was born in Calcutta, India and he was a student of [[C. R. Rao]]&amp;lt;ref name=MathG&amp;gt;{{MathGenealogy|id=48987}}&amp;lt;/ref&amp;gt; at [[Calcutta University]], where in 1957 he earned a doctorate in analytical probability theory from the [[Indian Statistical Institute]]. His dissertation was entitled &amp;#039;&amp;#039;Some Characterization Problems in Probability Theory and Mathematical Statistics&amp;#039;&amp;#039;.&lt;br /&gt;
&lt;br /&gt;
Laha&amp;#039;s primary and secondary education was completed in Calcutta. In 1949 he graduated first in rank with a bachelor&amp;#039;s degree in statistics from Presidency College, Calcutta.&amp;lt;ref name=LahaBio&amp;gt;{{cite web| url = http://www.maths.uq.edu.au/MASCOS/misc/Laha.pdf |title= Professor Radha Govind Laha| access-date = 1 March 2011}}&amp;lt;/ref&amp;gt; He earned his master&amp;#039;s degree in statistics in 1951, and doctoral degree in analytical probability theory from Calcutta University in 1957.&amp;lt;ref name=LahaBio/&amp;gt; Prizes and awards during this period include the Saradprasad prize, the Duff scholarship, the S.S. Bose Gold Medal, a [[University of Calcutta]] Silver Medal, and [[Fulbright Program|Fulbright Fellowship]] in the US&amp;lt;ref name=LahaBio/&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
===Career===&lt;br /&gt;
In 1952 Laha joined the staff of the [[Indian Statistical Institute]], Theoretical Research and Training School, [[Calcutta]], [[India]], in pure and applied statistics. In 1958 he was a Research Associate at [[Catholic University of America]] in Washington, D.C. He returned to the Indian Statistical Institute for two years, and joined the faculty of Catholic University as a faculty member in 1962. During this period Laha established an international reputation, and he visited statistical institutes at [[University of Paris]], France, ETH [[Zurich]], [[Switzerland]], and in the United States. He moved to [[Bowling Green State University]] in 1972, along with his colleagues [[Eugene Lukacs]] and Vijay Rohatgi, to start a new PhD program there.&amp;lt;ref&amp;gt;For an announcement see {{cite web| title=International Mathematical News | date = May 1972 | url=http://www.oemg.ac.at/IMN/imn101.pdf |page=22|access-date = 4 March 2011}}&amp;lt;/ref&amp;gt; Laha retired from [[Bowling Green State University]] in 1996 and died in Perrysburg, Ohio on 14 July 1999 after a long illness.&amp;lt;ref name=Laha-bio2&amp;gt;{{cite web|url = http://www.bgsu.edu/departments/math/faculty/page52758.html| title = Radha Laha (biographical sketch)|access-date = 4 March 2011}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Laha was the author of several classical texts on probability theory&amp;lt;ref name=LR79/&amp;gt;&amp;lt;ref name=LL1/&amp;gt; and statistics&amp;lt;ref&amp;gt;{{Cite book|author=I. M. Chakrevarti, R. G. Laha and J. Roy|year=1967|title=Handbook of Methods of Applied Statistics I: Techniques of computation, descriptive methods, and statistical inference|publisher=Wiley|location=New York.}}&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;{{Cite book|author=I. M. Chakrevarti, R. G. Laha and J. Roy|year=1967|title=Handbook of Methods of Applied Statistics II: Planning of surveys and experiments|publisher=Wiley|location=New York.}}&amp;lt;/ref&amp;gt; and numerous publications in journals. He was an honoured Fellow of the [[Institute of Mathematical Statistics]]&amp;lt;ref&amp;gt;{{cite web| url= http://www.imstat.org/awards/honored_fellows.htm | title = Honored IMS Fellows | access-date = 1 March 2011}}&amp;lt;/ref&amp;gt; and an elected member of the [[International Statistical Institute]].&lt;br /&gt;
&lt;br /&gt;
Laha was particularly interested in characterisations of the normal distribution.&amp;lt;ref name=Laha-bio2 /&amp;gt;&amp;lt;ref&amp;gt;Radha G. Laha (obituary), The Toledo Blade, 18 July 1999.&amp;lt;/ref&amp;gt; One of his well-known results is his disproof of a long-standing conjecture: that the ratio of two independent, identically distributed random variables is Cauchy distributed if and only if the variables have normal distributions. Laha became known for disproving this conjecture.&amp;lt;ref&amp;gt;{{cite journal|journal = Proceedings of the National Academy of Sciences | author = R. G. Laha | year = 1958 | volume = 44 | pages = 222–223 | title = An Example of a Nonnormal Distribution where the Quotient Follows the Cauchy Law| url = http://www.pnas.org/content/44/2/222.full.pdf | issue=2|doi = 10.1073/pnas.44.2.222| pmc = 335393 | pmid=16590171}}&amp;lt;/ref&amp;gt; Laha also proved several generalisations of the classical characterisation of normal sample distribution by the independence of sample mean and sample variance.&amp;lt;ref&amp;gt;Laha (1991)&amp;lt;/ref&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
===Philanthropist===&lt;br /&gt;
Laha made a generous endowment from his estate to the [[American Mathematical Society]]&amp;lt;ref&amp;gt;{{cite web|url= https://www.ams.org/about-us/governance/board/ecbt-minutes-0501.pdf |title = Minutes, American Mathematical Society Executive Committee and Board of Trustees, May 18–19, 2001, Providence, Rhode Island: Minutes, Item 3.6 &amp;#039;&amp;#039;Bequest from the Estate of Radha G. Laha&amp;#039;&amp;#039;|access-date=26 February 2011}}&amp;lt;/ref&amp;gt; and the [[Institute of Mathematical Statistics]]. &lt;br /&gt;
The AMS established the Radha G. Laha Gardens in 2001.&amp;lt;ref&amp;gt;[https://www.ams.org/about-us/support-ams/laha-gardens AMS Dedicates Radha G. Laha Gardens]&amp;lt;/ref&amp;gt; A portion of the Laha Gardens outside the AMS headquarters&amp;lt;ref&amp;gt;[https://www.ams.org/about-us/about-us American Mathematical Society]&amp;lt;/ref&amp;gt; in [[Providence, Rhode Island|Providence]], Rhode Island is identified by a plaque inscribed &amp;#039;to honour his gift and commitment to mathematical research&amp;#039;. In 2001 with Laha&amp;#039;s generous bequest, the [[Institute of Mathematical Statistics]] established the Laha Awards&amp;lt;ref&amp;gt;[http://www.imstat.org/awards/laha.html IMS Laha Travel Award] {{webarchive|url=https://web.archive.org/web/20101212195001/http://imstat.org/awards/laha.html |date=12 December 2010 }}&amp;lt;/ref&amp;gt; to provide travel funds to present a paper at the IMS Annual Meeting.&lt;br /&gt;
&lt;br /&gt;
==Notes==&lt;br /&gt;
{{Reflist}}&lt;br /&gt;
&lt;br /&gt;
== Books ==&lt;br /&gt;
&lt;br /&gt;
* {{Cite book |author=E. Lukacs and R. G. Laha|title=Applications of Characteristic Functions (Griffin&amp;#039;s Statistical Monographs &amp;amp; Courses, No. 14)|location=New York|publisher=T. Hafner Pub. Co.|year=1964 |pages=202}}&lt;br /&gt;
* {{Cite book|author=I. M. Chakrevarti, R. G. Laha and J. Roy|year=1967|title=Handbook of Methods of Applied Statistics I: Techniques of computation, descriptive methods, and statistical inference|publisher=Wiley|location=New York.}}&lt;br /&gt;
* {{Cite book|author=I. M. Chakrevarti, R. G. Laha and J. Roy|year=1967|title=Handbook of Methods of Applied Statistics II: Planning of surveys and experiments|publisher=Wiley|location=New York.}}&lt;br /&gt;
* {{Cite book|author=R. G. Laha and V. K. Rohatgi|year=1979|pages=557|title=Probability Theory|publisher=Wiley|location=New York.}}&lt;br /&gt;
&lt;br /&gt;
== Journal articles ==&lt;br /&gt;
&lt;br /&gt;
* {{cite journal | last1 = Kagan | first1 = Abram | last2 = Laha | first2 = R. G. | year = 2001 | title = A property of linear forms of independent random variables related to uniqueness of linear structure | journal = J. Statist. Plann. Inference | volume = 92 | issue = 1–2| pages = 13–20 | doi = 10.1016/S0378-3758(00)00159-2 }}&lt;br /&gt;
* {{cite journal | last1 = Laha | first1 = R. G. | year = 1998 | title = An extension of the Darmois–Skitovich theorem | journal = Math. Methods Statist | volume = 7 | issue = 4| pages = 479–483 }}&lt;br /&gt;
* {{cite journal | last1 = Kagan | first1 = A. | last2 = Laha | first2 = R. G. | last3 = Rohatgi | first3 = V. |name-list-style=vanc | year = 1997 | title = Independence of the sum and absolute difference of independent random variables does not imply their normality | journal = Math. Methods Statist | volume = 6 | issue = 2| pages = 263–265 }}&lt;br /&gt;
* Laha, R. G. (1991). A characterisation of Gaussian law in Hilbert space, &amp;#039;&amp;#039;[[Aequationes Mathematicae]]&amp;#039;&amp;#039;  41 (1991), no. 1, 85–93.&lt;br /&gt;
* {{cite journal | last1 = Laha | first1 = R. G. | last2 = Lukacs | first2 = E. | year = 1977 | title = On a functional equation which occurs in a characterization problem | journal = [[Aequationes Mathematicae]] | volume = 16 | issue = 3| pages = 259–274 | doi = 10.1007/BF01836038 | s2cid = 122866588 }}&lt;br /&gt;
* {{cite journal | last1 = Laha | first1 = R. G. | year = 1964 | title = On the decomposition of a class of functions of bounded variation | journal = Can. J. Math. | volume = 16 | pages = 479–484 | doi = 10.4153/CJM-1964-049-8 }}&lt;br /&gt;
* {{cite journal | last1 = Laha | first1 = R. G. | last2 = Lukacs | first2 = E. | year = 1962 | title = On a factorization of characteristic functions which have a finite number of derivatives at the origin | journal = Publ. Inst. Statist. Univ. Paris | volume = 11 | pages = 221–224 }}&lt;br /&gt;
* {{cite journal | last1 = Laha | first1 = R. G. | last2 = Lukacs | first2 = E. | year = 1964 | title = On a problem connected with quadratic regression | journal = Biometrika | volume = 47 | issue = 3–4| pages = 335–343 | doi=10.1093/biomet/47.3-4.335}}&lt;br /&gt;
* {{cite journal | last1 = Laha | first1 = R. G. | last2 = Lukacs | first2 = E. | last3 = Newman | first3 = M. | year = 1960 | title = On the independence of a sample central moment and the sample mean | journal = Annals of Mathematical Statistics | volume = 31 | issue = 4| pages = 1028–1033 | doi = 10.1214/aoms/1177705675 | doi-access = free }}&lt;br /&gt;
* {{cite journal | last1 = Laha | first1 = R. G. | last2 = Lukacs | first2 = E. | year = 1960 | title = On certain functions of normal variates which are uncorrelated of a higher order | journal = Biometrika | volume = 47 | issue = 1–2| pages = 175–176 | doi=10.1093/biomet/47.1-2.175}}&lt;br /&gt;
* {{cite journal | last1 = Laha | first1 = R. G. | year = 1959 | title = On the laws of Cauchy and Gauss | journal = Annals of Mathematical Statistics | volume = 30 | issue = 4| pages = 1165–1174 | doi = 10.1214/aoms/1177706102 | doi-access = free }}&lt;br /&gt;
* {{cite journal | last1 = Laha | first1 = R. G. | year = 1958a | title = On a factorization theorem in the theory of analytic characteristic functions | journal = Annals of Mathematical Statistics | volume = 29 | issue = 3| pages = 922–926 | doi = 10.1214/aoms/1177706553 | doi-access = free }}&lt;br /&gt;
* {{cite journal | last1 = Laha | first1 = R. G. | year = 1958b | title = An example of a nonnormal distribution where the quotient follows the Cauchy law | journal = Proc. Natl. Acad. Sci. USA | volume = 44 | issue = 2| pages = 222–223 | doi = 10.1073/pnas.44.2.222 | pmc = 335393 | pmid=16590171}}&lt;br /&gt;
* {{cite journal | last1 = Roy | first1 = J. | last2 = Laha | first2 = R. G. | year = 1957 | title = On partially balanced linked block designs | journal = Annals of Mathematical Statistics | volume = 28 | issue = 2| pages = 488–493 | doi = 10.1214/aoms/1177706977 | doi-access = free }}&lt;br /&gt;
* {{cite journal | last1 = Laha | first1 = R. G. | year = 1957 | title = On some characterization problems connected with linear structural relations | journal = Annals of Mathematical Statistics | volume = 28 | issue = 2| pages = 405–414 | doi = 10.1214/aoms/1177706968 | doi-access = free }}&lt;br /&gt;
* {{cite journal|last1=Basu | first1=D. |last2 = Laha | first2 = R. G.| title= On Some Characterizations of the Normal Distribution| journal=[[Sankhya (journal)|Sankhyā]] | volume=13| issue=4| year=1954| pages = 359–362| jstor=25048183}}&lt;br /&gt;
&lt;br /&gt;
{{Authority control}}&lt;br /&gt;
&lt;br /&gt;
{{DEFAULTSORT:Laha, Radha}}&lt;br /&gt;
[[Category:1930 births]]&lt;br /&gt;
[[Category:1999 deaths]]&lt;br /&gt;
[[Category:20th-century Indian mathematicians]]&lt;br /&gt;
[[Category:Probability theorists]]&lt;br /&gt;
[[Category:Indian statisticians]]&lt;br /&gt;
[[Category:University of Calcutta alumni]]&lt;br /&gt;
[[Category:Catholic University of America faculty]]&lt;br /&gt;
[[Category:Fellows of the Institute of Mathematical Statistics]]&lt;br /&gt;
[[Category:Indian Statistical Institute faculty]]&lt;br /&gt;
[[Category:Scientists from Kolkata]]&lt;/div&gt;</summary>
		<author><name>imported&gt;DEFCON5</name></author>
	</entry>
</feed>