Open Access
July, 1974 On the Admissibility of the M.L.E. for Ordered Binomial Parameters
H. Sackrowitz, W. Strawderman
Ann. Statist. 2(4): 822-828 (July, 1974). DOI: 10.1214/aos/1176342771

Abstract

Admissibility properties of the M.L.E. for the parameters of $m$ independent binomial distributions (when these parameters are known to be ordered) are determined for certain convex loss functions. It is shown that, except in two special cases, the M.L.E. is inadmissible whenever the total sample size is 7 or more.

Citation

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H. Sackrowitz. W. Strawderman. "On the Admissibility of the M.L.E. for Ordered Binomial Parameters." Ann. Statist. 2 (4) 822 - 828, July, 1974. https://doi.org/10.1214/aos/1176342771

Information

Published: July, 1974
First available in Project Euclid: 12 April 2007

zbMATH: 0321.62011
MathSciNet: MR368242
Digital Object Identifier: 10.1214/aos/1176342771

Subjects:
Primary: 62C15
Secondary: 62C10

Keywords: Admissibility , Bayes , Binomial distribution , convex loss , maximum likelihood estimate , ordered parameters

Rights: Copyright © 1974 Institute of Mathematical Statistics

Vol.2 • No. 4 • July, 1974
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