Conditional limit laws for goodness-of-fit tests

DOI10.3150/11-BEJ366zbMath1243.62061arXiv1207.5967OpenAlexW3099511746MaRDI QIDQ442080

Richard A. Lockhart

Publication date: 9 August 2012

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5967

zbMATH Keywords

empirical distribution functionparametric bootstraplocal central limit theoremRao-Blackwell

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30) Bootstrap, jackknife and other resampling methods (62F40) Sufficient statistics and fields (62B05)

Related Items (3)

Exact conditional tests and approximate bootstrap tests for the von Mises distribution ⋮ Some goodness-of-fit tests for the Poisson distribution with applications in biodosimetry ⋮ Testing goodness-of-fit and conditional independence with approximate co-sufficient sampling

Cites Work

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• Some conditional limit theorems in exponential families
• Asymptotic efficiency of minimum variance unbiased estimators
• Exact conditional tests and approximate bootstrap tests for the von Mises distribution
• A note on Moore's conjecture
• Use of the Gibbs Sampler to Obtain Conditional Tests, with Applications
• Tests of fit for the von Mises distribution
• Asymptotic normality of the posterior given a statistic
• On the Conditional Distribution of Goodness-of-Fit Tests
• Testing Statistical Hypotheses

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