Efficiencies of chi-square and likelihood ratio goodness-of-fit tests

DOI10.1214/aos/1176349550zbMath0576.62061OpenAlexW1980191583WikidataQ56444708 ScholiaQ56444708MaRDI QIDQ1064712

Malcolm Quine, John Robinson

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/1176349550

zbMATH Keywords

central limit theoremlarge deviationslikelihood ratio statisticschi-squarePitman efficiencyBahadur efficiencieschoice of number of classestesting goodness of fit

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Large deviations (60F10)

Related Items (21)

Asymptotic distributions for goodness-of-fit statistics in a sequence of multinomial models ⋮ THE CHOICE OF CELLS IN CHI–SQUARE TESTS ⋮ A Bayesian \(\chi^2\) test for goodness-of-fit ⋮ A consistent bayesian bootstrap for chi-squared goodness-of-fit test using a dirichlet prior ⋮ The autodependogram: a graphical device to investigate serial dependences ⋮ Chi-Squared Goodness-of-Fit Tests: Cell Selection and Power ⋮ 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 ⋮ Assessing fit in Bayesian models for spatial processes ⋮ Inequalities for noncentral chi-square distributions ⋮ Bahadur efficiencies of spacings tests for goodness of fit ⋮ Asymptotic efficiencies of spacings tests for goodness of fit ⋮ Nonparametric Independence Tests: Space Partitioning and Kernel Approaches ⋮ The probabilities of large deviations for a certain class of statistics associated with multinomial distribution ⋮ On Edgeworth expansions in generalized urn models ⋮ Large deviations of divergence measures on partitions ⋮ PITMAN MEDAL ⋮ Limit laws for disparities of spacings ⋮ Unnamed Item ⋮ Evidence for goodness of fit in Karl Pearson chi-squared statistics ⋮ On the asymptotic properties of a certain class of goodness-of-fit tests associated with multinomial distributions

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