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December, 1972 Minimal Sufficient $|sigma$-Fields and Minimal Sufficient Statistics. Two Counterexamples
Dieter Landers, Lothar Rogge
Ann. Math. Statist. 43(6): 2045-2049 (December, 1972). DOI: 10.1214/aoms/1177690882

Abstract

In this paper there are solved two problems raised by Bahadur (1954) which concern the relation between the existence of a minimal sufficient $\sigma$-field and the existence of a minimal sufficient statistic. Two examples show that the existence of a minimal sufficient $\sigma$-field is neither necessary nor sufficient for the existence of a minimal sufficient statistic.

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Dieter Landers. Lothar Rogge. "Minimal Sufficient $|sigma$-Fields and Minimal Sufficient Statistics. Two Counterexamples." Ann. Math. Statist. 43 (6) 2045 - 2049, December, 1972. https://doi.org/10.1214/aoms/1177690882

Information

Published: December, 1972
First available in Project Euclid: 27 April 2007

zbMATH: 0256.62005
MathSciNet: MR353519
Digital Object Identifier: 10.1214/aoms/1177690882

Rights: Copyright © 1972 Institute of Mathematical Statistics

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Vol.43 • No. 6 • December, 1972
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