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Encyclopedia > C.R. Rao

Calyampudi Radhakrishnan Rao (born September 10, 1920) is a famous Indian statistician and currently professor emeritus at Penn State University. He was born in Hadagali, Karnataka state, India. September 10 is the 253rd day of the year (254th in leap years). ... 1920 is a leap year starting on Thursday (link will take you to calendar) Events January January 7 - Forces of Russian White admiral Kolchak surrender in Krasnoyarsk. ... For Wikipedia statistics, see m:Statistics Statistics is the science and practice of developing human knowledge through the use of empirical data expressed in quantitative form. ... The Pennsylvania State University The Pennsylvania State University (commonly known as Penn State) is a state-related land-grant university in Pennsylvania, with over 80,000 students at 24 campuses throughout the state. ... Karnataka (ಕರ್ನಾಟಕ in Kannada) is one of the four southern states of India. ...


He received an M.S. in mathematics from Andhra University and an M.S. in Statistics from Calcutta University in 1943. A masters degree is an academic degree usually awarded for completion of a postgraduate course of one or two years in duration. ... History Main article: History of mathematics In addition to recognizing how to count concrete objects, prehistoric peoples also recognized how to count abstract quantities, like time -- days, seasons, years. ... This article needs to be wikified. ... Statistics is the science and practice of developing knowledge through the use of empirical data expressed in quantitative form. ... Established in January 24, 1857, the University of Calcutta (also known as Calcutta University) is the first modern university in the Indian sub_continent. ... 1943 is a common year starting on Friday. ...


Rao worked at the Indian Statistical Institute and the Anthropological Museum in Cambridge before acquiring a Ph.D. at King's College under R.A. Fisher in 1948, to which he added a Sc.D. also from Cambridge in 1965. The University of Cambridge is the second-oldest university in the English-speaking world (after Oxford). ... Doctor of Philosophy (Ph. ... There are a number of institutions known as Kings College: Kings College, Hong Kong, Kings College in Sai Ying Pun, Hong Kong Kings College, Uganda, Kings College in Wakiso district, Uganda Kings College, Cambridge, a constituent college of the University of Cambridge Kings College... Sir Ronald Fisher Sir Ronald Aylmer Fisher, FRS (February 17, 1890–July 29, 1962) was an extraordinarily talented evolutionary biologist, geneticist and statistician. ... 1948 is a leap year starting on Thursday (link will take you to calendar). ... Sc. ... 1965 was a common year starting on Friday (the link is to a full 1965 calendar). ...


Among his best known discoveries are the Cramér-Rao inequality and the Rao-Blackwell theorem both related to the quality of estimators. Other areas he worked in include multivariate analysis, estimation and differential geometry. In statistics, the Cramér-Rao inequality, named in honor of Harald Cramér and Calyampudi Radhakrishna Rao, states that the reciprocal of the Fisher information, , of a parameter , is a lower bound on the variance of an unbiased estimator of the parameter (denoted ). In some cases, no unbiased estimator... In statistics, the Rao-Blackwell theorem describes a technique that can transform an absurdly crude estimator into an estimator that is optimal by the mean-squared-error criterion or any of a variety of similar criteria. ... In statistics, an estimator is a function of the known data that is used to estimate an unknown parameter; an estimate is the result from the actual application of the function to a particular set of data. ... In mathematics, a function is a relation, such that each element of a set (the domain) is associated with a unique element of another (possibly the same) set (the codomain, not to be confused with the range). ... An analysis is a critical evaluation, usually made by breaking a subject (either material or intellectual) down into its constituent parts, then describing the parts and their relationship to the whole. ... In mathematics, differential topology is the field dealing with differentiable functions on differentiable manifolds. ...


Dr. Rao is a Wilks and Mahalanobis medalist; a member of eight National Academies in India, the United Kingdom, the United States, and Italy; he has received dozens of medals, citations, awards, and other honors for his contributions to statistics and science. Dr. Rao was awarded the National Medal of Science, the nation's highest award for lifetime achievement in fields of scientific research, in June 2002. National Medal of Science The National Medal of Science, also called the Presidential Medal of Science, is an honor given by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social... June is the sixth month of the year in the Gregorian Calendar and one of four with the length of 30 days. ... 2002 is a common year starting on Tuesday of the Gregorian calendar. ...


External links

  • Prof. Rao's page at Penn State (http://www.stat.psu.edu/people/faculty/crrao.html)
  • ET Interviews: Professor C. R. Rao (http://korora.econ.yale.edu/et/interview/rao.pdf) on the Econometric Theory (http://korora.econ.yale.edu/et/) page.

References

  • UMN (http://www.mrs.umn.edu/~sungurea/introstat/history/w98/Rao.html)
  • Amstat (http://www.amstat.org/about/statisticians/index.cfm?fuseaction=biosinfo&BioID=13)


 

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