|
C. R. Rao
Calyampudi Radhakrishna Rao (10 September 1920 – 22 August 2023) was an Indian-American mathematician and statistician. He was professor emeritus at Pennsylvania State University and research professor at the University at Buffalo. Rao was honoured by numerous colloquia, honorary degrees, and festschrifts and was awarded the US National Medal of Science in 2002. The American Statistical Association has described him as "a living legend" whose work has influenced not just statistics, but has had far reaching implications for fields as varied as economics, genetics, anthropology, geology, national planning, demography, biometry, and medicine." ''The Times of India'' listed Rao as one of the top 10 Indian scientists of all time. In 2023, Rao was awarded the International Prize in Statistics, an award often touted as the "statistics' equivalent of the Nobel Prize". Rao was also a Senior Policy and Statistics advisor for the Indian Heart Association non-profit focused on rais ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fellow Of The Royal Society
Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the judges of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural science, natural knowledge, including mathematics, engineering science, and medical science". Fellow, Fellowship of the Society, the oldest known scientific academy in continuous existence, is a significant honour. It has been awarded to many eminent scientists throughout history, including Isaac Newton (1672), Michael Faraday (1824), Charles Darwin (1839), Ernest Rutherford (1903), Srinivasa Ramanujan (1918), Albert Einstein (1921), Paul Dirac (1930), Winston Churchill (1941), Subrahmanyan Chandrasekhar (1944), Dorothy Hodgkin (1947), Alan Turing (1951), Lise Meitner (1955) and Francis Crick (1959). More recently, fellowship has been awarded to Stephen Hawking (1974), David Attenborough (1983), Tim Hunt (1991), Elizabeth Blackburn (1992), Tim Berners-Lee (2001), Venki R ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ronald Fisher
Sir Ronald Aylmer Fisher (17 February 1890 – 29 July 1962) was a British polymath who was active as a mathematician, statistician, biologist, geneticist, and academic. For his work in statistics, he has been described as "a genius who almost single-handedly created the foundations for modern statistical science" and "the single most important figure in 20th century statistics". In genetics, his work used mathematics to combine Mendelian genetics and natural selection; this contributed to the revival of Darwinism in the early 20th-century revision of the theory of evolution known as the modern synthesis. For his contributions to biology, Fisher has been called "the greatest of Darwin’s successors". Fisher held strong views on race and eugenics, insisting on racial differences. Although he was clearly a eugenist and advocated for the legalization of voluntary sterilization of those with heritable mental disabilities, there is some debate as to whether Fisher supported sc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Medal Of Science
The National Medal of Science is an honor bestowed 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 sciences, biology, chemistry, engineering, mathematics and physics. The twelve member presidential Committee on the National Medal of Science is responsible for selecting award recipients and is administered by the National Science Foundation (NSF). History The National Medal of Science was established on August 25, 1959, by an act of the Congress of the United States under . The medal was originally to honor scientists in the fields of the "physical, biological, mathematical, or engineering sciences". The Committee on the National Medal of Science was established on August 23, 1961, by executive order 10961 of President John F. Kennedy. On January 7, 1979, the American Association for the Advancement of Science (AAAS) passed a resolution propo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Padma Vibhushan
The Padma Vibhushan ("Lotus Decoration") is the second-highest Indian honours system, civilian award of the Republic of India, after the Bharat Ratna. Instituted on 2 January 1954, the award is given for "exceptional and distinguished service". All persons without distinction of race, occupation, position or sex are eligible for these awards. However, government servants including those working with PSUs, except doctors and scientists, are not eligible for these Awards. , the award has been bestowed on 325 individuals, including nineteen posthumous and twenty-one non-citizen recipients. During 1 May and 15 September of every year, the recommendations for the award are submitted to the Padma Awards Committee, constituted by the Prime Minister of India. The recommendations are received from all the state and the union territory governments, the Ministries of the Government of India, the Bharat Ratna and previous List of Padma Vibhushan award recipients, Padma Vibhushan award reci ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Score Test
In statistics, the score test assesses constraints on statistical parameters based on the gradient of the likelihood function—known as the ''score''—evaluated at the hypothesized parameter value under the null hypothesis. Intuitively, if the restricted estimator is near the maximum of the likelihood function, the score should not differ from zero by more than sampling error. While the finite sample distributions of score tests are generally unknown, they have an asymptotic χ2-distribution under the null hypothesis as first proved by C. R. Rao in 1948, a fact that can be used to determine statistical significance. Since function maximization subject to equality constraints is most conveniently done using a Lagrangean expression of the problem, the score test can be equivalently understood as a test of the magnitude of the Lagrange multipliers associated with the constraints where, again, if the constraints are non-binding at the maximum likelihood, the vector of Lagrange mu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Orthogonal Array
In mathematics, an orthogonal array is a "table" (array) whose entries come from a fixed finite set of symbols (typically, ), arranged in such a way that there is an integer ''t'' so that for every selection of ''t'' columns of the table, all ordered ''t''-tuples of the symbols, formed by taking the entries in each row restricted to these columns, appear the same number of times. The number ''t'' is called the ''strength'' of the orthogonal array. Here is a simple example of an orthogonal array with symbol set and strength 2: :: Notice that the four ordered pairs (2-tuples) formed by the rows restricted to the first and third columns, namely (1,1), (2,1), (1,2) and (2,2), are all the possible ordered pairs of the two element set and each appears exactly once. The second and third columns would give, (1,1), (2,1), (2,2) and (1,2); again, all possible ordered pairs each appearing once. The same statement would hold had the first and second columns been used. This is thus an orthogon ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rao–Blackwell Theorem
In statistics, the Rao–Blackwell theorem, sometimes referred to as the Rao–Blackwell–Kolmogorov theorem, is a result which characterizes the transformation of an arbitrarily crude estimator into an estimator that is optimal by the mean-squared-error criterion or any of a variety of similar criteria. The Rao–Blackwell theorem states that if ''g''(''X'') is any kind of estimator of a parameter θ, then the conditional expectation of ''g''(''X'') given ''T''(''X''), where ''T'' is a sufficient statistic, is typically a better estimator of θ, and is never worse. Sometimes one can very easily construct a very crude estimator ''g''(''X''), and then evaluate that conditional expected value to get an estimator that is in various senses optimal. The theorem is named after Calyampudi Radhakrishna Rao and David Blackwell. The process of transforming an estimator using the Rao–Blackwell theorem can be referred to as Rao–Blackwellization. The transformed estimator is called the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cramér–Rao Bound
In estimation theory and statistics, the Cramér–Rao bound (CRB) expresses a lower bound on the variance of unbiased estimators of a deterministic (fixed, though unknown) parameter, the variance of any such estimator is at least as high as the inverse of the Fisher information. Equivalently, it expresses an upper bound on the precision (the inverse of variance) of unbiased estimators: the precision of any such estimator is at most the Fisher information. The result is named in honor of Harald Cramér and C. R. Rao, but has independently also been derived by Maurice Fréchet, Georges Darmois, as well as Alexander Aitken and Harold Silverstone. An unbiased estimator that achieves this lower bound is said to be (fully) '' efficient''. Such a solution achieves the lowest possible mean squared error among all unbiased methods, and is therefore the minimum variance unbiased (MVU) estimator. However, in some cases, no unbiased technique exists which achieves the bound. This may occur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sreenivasa Rao Jammalamadaka
Sreenivasa Rao Jammalamadaka, also known as J.S. Rao, is a statistician specializing in directional statistics, Goodness of fit tests, Spacings, and aspects of large sample efficiencies and inference. He was born in Munipalle, Andhra Pradesh, India, and currently is a naturalized US citizen. He now resides and works at the University of California, Santa Barbara as a Distinguished Professor in Statistics. He is known for his important contributions to circular statistics and to tests and estimation based on spacings. Life and career J.S. Rao was educated for a year at the YRS and VRN College in Chirala, followed by the Indian Statistical Institute, Kolkata (B. Stat.1964, M.Stat. 1965, and Ph.D. 1969), where he received education from notable professors including P.C. Mahalanobis, C. R. Rao, J.B.S. Haldane, and D. Basu. He held academic positions at the Indiana University, Bloomington and the University of Wisconsin, Madison, before settling at the University of California, S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thiruvenkatachari Parthasarathy
Thiruvenkatachari Parthasarathy (born 1 March 1941, in Chennai, Tamil Nadu) is a game theorist and distinguished Indian mathematician and the co-author of a book on game theory with T. E. S. Raghavan, and of two research monographs, one on optimization and one on univalence theory, published by Springer-Verlag. He is a former president of the Indian Mathematical Society. He received his B.Sc and M.Sc degrees from Madras University. He worked on "Minimax Theorems and Product solutions for simple games" under the guidance of the eminent C. R. Rao and received Ph.D during 1967 from the Indian Statistical Institute, Kolkata. He actively delivers many lectures and seminars at University of Madras, ISI and CMI. Parthasarathy received Shanti Swaroop Bhatnagar Award for Mathematical Sciences (1986). He was elected as Fellow of the Indian Academy of Sciences (1988) and Indian National Science Academy The Indian National Science Academy (INSA) is a national academy i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ravindra Khattree
Ravindra Khattree (born 1959) is an Indian-American statistician and a distinguished professor of statistics at Oakland University and a co-director of the Center for Data Science and Big Data Analytics at the same university. His contribution to the Fountain–Khattree–Peddada Theorem in Pitman measure of closeness is one of the important results of his work. Khattree is the coauthor of two books and has coedited two volumes. He has served as an associate editor of the '' Communications in Statistics'' journal and the editor of the ''Interstat'' online journal. He was Chief editor of ''Journal of Statistics and Applications'' for more than ten years. He is an elected fellow of the American Statistical Association.Jeff Samoray"Professor elected ASA fellow" News Release, Oakland University, September 8, 2003 Khattree was born in Uttar Pradesh, India. He attended the Ewing Christian College-Allahabad University and the Indian Statistical Institute. In 1985, he earned a doctorat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
