On moderate and large deviations in multinomial distributions

DOI10.1214/aos/1176349755zbMath0581.60023OpenAlexW2033103765MaRDI QIDQ1067684

Wilbert C. M. Kallenberg

Publication date: 1985

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176349755

zbMATH Keywords

inequalitiesgoodness-of-fit testslikelihood ratio statisticModerate and large deviationPearson's chi squared test

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15) Large deviations (60F10)

Related Items (11)

THE CHOICE OF CELLS IN CHI–SQUARE TESTS ⋮ Higher-order expansions and efficiencies of tests based on spacings ⋮ A chi-square goodness-of-fit test for continuous distributions against a known alternative ⋮ On the intermediate asymptotic efficiency of goodness-of-fit tests in multinomial distributions ⋮ Nonparametric Independence Tests: Space Partitioning and Kernel Approaches ⋮ The probabilities of large deviations for a certain class of statistics associated with multinomial distribution ⋮ The choice of the number of bins for the \(M\) statistic ⋮ Large deviations of divergence measures on partitions ⋮ On netman-type smooth tests of fit ⋮ Change-point detection in multinomial data with a large number of categories ⋮ On the asymptotic properties of a certain class of goodness-of-fit tests associated with multinomial distributions

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