Empiric Bayes estimation of hypergeometric probability
type: Item
instance of: scholarly article
title: Empiric Bayes estimation of hypergeometric probability
zbMATH Open document ID: 0663.62040
DOI: 10.1007/BF02613295
published in: Metrika
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/176168
review text: A Bayes-empirical estimator of a parameter of the hypergeometric distribution, based on orthogonal polynomials on non-negative integers, is introduced. It is shown that this estimator is asymptotically optimal; and the resulting estimator of the prior probability function is mean square consistent.
Mathematics Subject Classification ID: 62F15
Mathematics Subject Classification ID: 62C12
zbMATH DE Number: 4084744
zbMATH Keywords: estimation of prior probability
zbMATH Keywords: Tchebychef polynomials
zbMATH Keywords: Krawtchouk polynomials
zbMATH Keywords: Bayes-empirical estimator
zbMATH Keywords: hypergeometric distribution
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: mean square consistent
author: Gilbert G. Walter
author: G. G. Hamedani
reviewed by: Kôichi Inada
MaRDI profile type: Publication
cites work: A continuous empirical Bayes smoothing technique
cites work: Empirical Bayes methods and the repeated use of a standard
cites work: Bayes Empirical Bayes
cites work: Empirical Bayes estimation of the binomial parameter
cites work: The Empirical Bayes Approach to Testing Statistical Hypotheses
cites work: Binomial-Weighted Orthogonal Polynomials
cites work: Empiric bayes estimation of binomial probability
OpenAlex ID: W2004190037
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description: scientific article; zbMATH DE number 4084744