Constructing unbiased tests for homogeneity and goodness of fit

DOI10.1016/0167-7152(91)90106-2zbMath0735.62025OpenAlexW1973251108MaRDI QIDQ1181130

Arthur Cohen, Harold B. Sackrowitz

Publication date: 27 June 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(91)90106-2

zbMATH Keywords

homogeneityPoisson distributionsnormal distributionsminimal sufficient statisticsimple hypothesisone parameter exponential familyunbiased testsNeyman structuretesting goodness of fitmultinomial probabilities

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Admissibility in statistical decision theory (62C15) Complete class results in statistical decision theory (62C07)

Related Items (2)

Inadmissibility of some tests for order-restricted alternatives ⋮ A characterization of Poisson-Gaussian families by convolution-stability

Cites Work

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• Unbiasedness of tests for homogeneity
• Unbiasedness of the likelihood ratio tests for equality of several covariance matrices and equality of several multivariate normal populations
• Unbiasedness of the chi-square, likelihood ratio, and other goodness of fit tests for the equal cell case
• Tests of Composite Hypotheses for the Multivariate Exponential Family
• Characterizations of Complete Classes of Tests of Some Multiparametric Hypotheses, with Applications to Likelihood Ratio Tests

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