Admissibility of goodness of fit tests for discrete exponential families
type: Item
instance of: scholarly article
title: Admissibility of goodness of fit tests for discrete exponential families
zbMATH Open document ID: 0601.62010
DOI: 10.1016/0167-7152(87)90017-4
author: Arthur Cohen
author: Harold B. Sackrowitz
published in: Statistics \& Probability Letters
publication date: 1987-01-01T00:00:00Z
review text: Consider testing the composite hypothesis that a population is a particular discrete exponential family. For example, a Poisson distribution with unknown parameter. We find a sufficient condition for the admissibility of goodness of fit tests. Included in the class of admissible tests is the usual chi-square test of goodness of fit.
Mathematics Subject Classification ID: 62C15
Mathematics Subject Classification ID: 62F03
zbMATH DE Number: 3969848
zbMATH Keywords: binomial distributions
zbMATH Keywords: composite hypothesis
zbMATH Keywords: discrete exponential family
zbMATH Keywords: Poisson distribution
zbMATH Keywords: sufficient condition for the admissibility of goodness of fit tests
zbMATH Keywords: chi-square test
MaRDI profile type: Publication
full work available at URL: 0167-7152(87)90017-4
OpenAlex ID: W2056108139
cites work: Characterizations of Complete Classes of Tests of Some Multiparametric Hypotheses, with Applications to Likelihood Ratio Tests
cites work: Q4197188
cites work: Admissible tests for exponential families with finite support2
cites work: Tests of Composite Hypotheses for the Multivariate Exponential Family
description: scientific article; zbMATH DE number 3969848