Asymptotic approximations for the distributions of the multinomial goodness-of-fit statistics under local alternatives

DOI10.1006/jmva.2001.2002zbMath1003.62011OpenAlexW2077431284MaRDI QIDQ697463

Akio Suzukawa, Nobuhiro Taneichi, Yuri Sekiya

Publication date: 17 September 2002

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.2001.2002

zbMATH Keywords

local alternativesmultinomial distributionasymptotic approximationsdistribution under local alternativesgoodnes-of-fit statisticspower divergence statistics

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20)

Related Items (10)

Improvement of the test of independence among groups of factors in a multi-way contingency table ⋮ Improvements of goodness-of-fit statistics for sparse multinomials based on normalizing trans\-for\-mations ⋮ Improvement of approximations for the distributions of multinomial goodness-of-fit statistics under nonlocal alternatives ⋮ Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space ⋮ Transformed goodness-of-fit statistics for a generalized linear model of binary data ⋮ Transformed statistics for tests of conditional independence in \(J \times K \times L\) contingency tables ⋮ Unnamed Item ⋮ Improved transformed statistics for the test of independence in \(r\times s\) contingency tables ⋮ Improved transformed deviance statistic for testing a logistic regression model ⋮ Approximations of the Distributions of Test Statistics for Homogeneity of a Product Multinomial Model

Cites Work

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• A POWER APPROXIMATION FOR THE MULTINOMIAL GOODNESS-OF-FIT TEST BASED ON A NORMALIZING TRANSFORMATION
• Power Approximations to Multinomial Tests of Fit
• A comparison of the chi²and likelihood ratio tests for composite alternatives1
• Asymptotic Approximations for the Probability that a Sum of Lattice Random Vectors Lies in a Convex Set

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