On the asymptotic properties of a certain class of goodness-of-fit tests associated with multinomial distributions

DOI10.1080/03610926.2021.1918168OpenAlexW3157649280MaRDI QIDQ5875246

Sherzod M. Mirakhmedov

Publication date: 3 February 2023

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.04281

zbMATH Keywords

asymptotic efficiencymultinomial distributionlog-likelihood ratio statisticchi-square statisticpower divergence statistics

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

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• On Edgeworth expansions in generalized urn models
• Intermediate efficiency, theory and examples
• A theorem on large-deviation probabilities for decomposable statistics and its statistical application
• Efficiencies of chi-square and likelihood ratio goodness-of-fit tests
• On moderate and large deviations in multinomial distributions
• Unbiasedness of the chi-square, likelihood ratio, and other goodness of fit tests for the equal cell case
• Asymptotic optimality of data-driven Neyman's tests for uniformity
• Generalized intermediate efficiency of goodness-of-fit tests.
• Large deviations and intermediate efficiency of decomposable statistics in a multinomial scheme
• Limit theorems for empirical Rényi entropy and divergence with applications to molecular diversity analysis
• Convergence Properties in Certain Occupancy Problems Including the Karlin-Rouault Law
• Pearson's X 2 and the Loglikelihood Ratio Statistic G 2 : A Comparative Review
• Approximation of the Distribution of Multidimensional Randomized Divisible Statistics by Normal Distributions (Multinomial Scheme)
• An Empirical Investigation of Goodness-of-Fit Statistics for Sparse Multinomials
• On limit theorems for decomposable statistics and efficiency of the corresponding statistical tests
• On the edge-independence number and edge-covering number for regular graphs
• Asymptotic Efficiency of Nonparametric Tests
• Sparse Serial Tests of Uniformity for Random Number Generators
• Correction The probabilities of large deviations for a certain class of statistics associated with multinomial distributions
• Some Generalizations of the Test of Empty Boxes
• Asymptotic normality and efficiency for certain goodness-of-fit tests
• On the Choice of the Number of Class Intervals in the Application of the Chi Square Test
• Intermediate efficiency in nonparametric testing problems with an application to some weighted statistics

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