### Biography

Calyampudi Radhakrishna Rao, Indian statistician and mathematician (Hwuina, Hadagalli Village, Bellary District, Karnataka State 10 September 1920 –

Respected as one of great statisticians of 20^{th} century

### ACHIEVEMENTS

Authored over 350 research papers and 14 books

Devised the criterion of second order efficiency

Established optimal properties of maximum livelihood estimation

Introduced differential geometric concepts in statistical inference and appear

Introduced analysis of dispersion in multivariate analysis (MANOVA)

Enunciated concept of orthogonal arrays of strength d (1949)

Created Rao efficient score test (1947)

### HONORS

Wilks Medal, American Statistical Association (1989)

National Medal of Science, United States (2002)

Mahalanobis International Award, International Statistical Institute (2003)

Guy Medal, Royal Statistical Society, United Kingdom (2011)

### EPONYMY

Cramer-Rao inequality (1945)

Rao distance

Blackwell-Rao theorem or Rao Blackwellization (1945)

Rao-Blackwell estimator

Lehman-Scheffe-Rao theorem

Cramer-Rao bound

Cramer-Rao functional

Fisher-Rao theorem

Fisher-Rao metric

Rao measure

Rao theorem

Neyman-Rao test

Rao least squares

Rao covariance structure

Rao U test

Rao F test

Rao paradox

Rubon-Rao theorem

Lau-Rao theorem

Lau-Rao-Shanbhag theorems

Rao-Yanoi generalized inverse theorem

Rao-Khatri-Linnik-Shanbhag theorems on characterization of probability models

Kagan-Linnik-Rao theorem

Guttman-Rao relationships (1948)

Rao generalized inverse of a matrix

Rao quadratic entropy