Mathematician:Calyampudi Radhakrishna Rao
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Mathematician
Indian-American mathematician and statistician.
Nationality
Indian
History
- Born: 10 September 1920 in Hadagali, Madras Presidency, British India (now in Karnataka, India)
Theorems and Definitions
- Fisher-Rao Theorem (with Ronald Aylmer Fisher)
- Fréchet-Darmois-Cramér-Rao Inequality (also known as Cramér-Rao Inequality or Cramér-Rao Bound) (with Carl Harald Cramér, independently from Maurice René Fréchet and Georges Darmois)
- Rao-Blackwell-Kolmogorov Theorem (with David Harold Blackwell and Andrey Nikolaevich Kolmogorov)
- Rao-Rubin Characterization Theorem (with Herman Rubin)
Results named for Calyampudi Radhakrishna Rao can be found here.
Definitions of concepts named for Calyampudi Radhakrishna Rao can be found here.
Publications
- 1941: Confounded designs for asymmetrical factorial experiments (with K. Raghavan Nair)
- 1942: A general class of quasi-factorial designs leading to confounded designs for factorial experiments (with K. Raghavan Nair)
- 1942: A note on partially balanced incomplete block designs (with K. Raghavan Nair)
- 1945: Information and accuracy attainable in the estimation of statistical parameters (in which the Cramér-Rao Inequality appears)
- 1948: Large sample tests of statistical hypotheses concerning several parameters with applications to problems of estimation
- 1948: Statistical Problems of Biological Classification
- 1952: Advanced statistical methods in biometric research
- 1963: Essays on econometrics and planning
- 1965: Linear statistical inference and its applications
- 1970: Computers and the Future of Human Society
- 1971: Generalized inverse of matrices and its applications (with Sujit Kumar Mitra)
- 1973: Characterization Problems of Mathematical Statistics
- 1988: Estimation of variance components and applications (with J. Kleffe)
- 1989: Statistics and truth. Putting chance to work
- 1994: Choquet-Deny type functional equations with applications to stochastic models (with D.N. Shanbhag)
- 1995: Linear models. Least squares and alternatives (with H. Toutenburg)
- 1998: Matrix Algebra and its Applications to Statistics and Econometrics (with M. Bhaskara Rao)
Also known as
Usually known as C.R. Rao.