Kolmogorov's Contributions to Mathematical Statistics

Andrew L. Rukhin

doi:10.1214/aos/1176347737

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Home > Journals > Ann. Statist. > Volume 18 > Issue 3 > Article

September, 1990 Kolmogorov's Contributions to Mathematical Statistics

Andrew L. Rukhin

Ann. Statist. 18(3): 1011-1016 (September, 1990). DOI: 10.1214/aos/1176347737

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Abstract

In this paper Kolmogorov's work in mathematical statistics is reviewed. The main areas under discussion are: the idea of sufficiency, linear models and unbiased estimators. The relationship of Kolmogorov's contributions with modern statistical theory, in particular, with Bayesian analysis, is analyzed.

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Andrew L. Rukhin. "Kolmogorov's Contributions to Mathematical Statistics." Ann. Statist. 18 (3) 1011 - 1016, September, 1990. https://doi.org/10.1214/aos/1176347737

Information

Published: September, 1990

First available in Project Euclid: 12 April 2007

zbMATH: 0705.62005

MathSciNet: MR1062696

Digital Object Identifier: 10.1214/aos/1176347737

Subjects:

Primary: 01A60

Secondary: 62A15 , 62B05 , 62F10 , 62G05

Keywords: accuracy estimation , Confidence interval , least squares estimators , linear statistical model , prior distribution , sufficiency , unbiased estimators