On the intermediate asymptotic efficiency of goodness-of-fit tests in multinomial distributions

DOI10.1051/ps/2022010arXiv2208.11545OpenAlexW4294643366MaRDI QIDQ6175890

Sherzod M. Mirakhmedov

Publication date: 21 August 2023

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.11545

zbMATH Keywords

asymptotic efficiencygoodness-of-fit testsmultinomial distributionlog-likelihood ratio statisticpower divergence statistics\(\chi^2\) statistic

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20)

Cites Work

• On Edgeworth expansions in generalized urn models
• Efficiencies of chi-square and likelihood ratio goodness-of-fit tests
• On moderate and large deviations in multinomial distributions
• On local and nonlocal measures of efficiency
• Generalized intermediate efficiency of goodness-of-fit tests.
• Large deviations and intermediate efficiency of decomposable statistics in a multinomial scheme
• On the edge-independence number and edge-covering number for regular graphs
• Asymptotic Efficiency of Nonparametric Tests
• Intermediate efficiency of some weighted goodness-of-fit statistics
• Intermediate efficiency of tests under heavy-tailed alternatives
• The probabilities of large deviations for a certain class of statistics associated with multinomial distribution
• Asymptotic normality and efficiency for certain goodness-of-fit tests
• On the asymptotic properties of a certain class of goodness-of-fit tests associated with multinomial distributions
• Intermediate efficiency in nonparametric testing problems with an application to some weighted statistics
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