Admissibility of goodness of fit tests for discrete exponential families (Q1081226)

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scientific article; zbMATH DE number 3969848
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Admissibility of goodness of fit tests for discrete exponential families
scientific article; zbMATH DE number 3969848

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    Admissibility of goodness of fit tests for discrete exponential families (English)
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    1987
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    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.
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    binomial distributions
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    composite hypothesis
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    discrete exponential family
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    Poisson distribution
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    sufficient condition for the admissibility of goodness of fit tests
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    chi-square test
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