Admissibility of goodness of fit tests for discrete exponential families

Arthur Cohen; Harold B. Sackrowitz

doi:https://doi.org/10.1016/0167-7152(87)90017-4

Admissibility of goodness of fit tests for discrete exponential families

Arthur Cohen, Harold B. Sackrowitz

School of Arts and Sciences, Statistics

Rutgers, The State University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	American English
Pages (from-to)	1-3
Number of pages	3
Journal	Statistics and Probability Letters
Volume	5
Issue number	1
DOIs	https://doi.org/10.1016/0167-7152(87)90017-4
State	Published - Jan 1987

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

Keywords

admissibility
chi-square test
goodness of fit

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https://doi.org/10.1016/0167-7152(87)90017-4

Cite this

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title = "Admissibility of goodness of fit tests for discrete exponential families",

abstract = "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.",

keywords = "admissibility, chi-square test, goodness of fit",

author = "Arthur Cohen and Sackrowitz, {Harold B.}",

note = "Funding Information: Research supported by NSF Grant DMS-84-18416",

year = "1987",

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Admissibility of goodness of fit tests for discrete exponential families

Abstract

ASJC Scopus subject areas

Keywords

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