The asymptotic maximin property of chi-squared type tests based on the empirical process

DOI10.1016/0167-7152(95)00184-0zbMath0905.62046OpenAlexW2065643782MaRDI QIDQ1129430

Sangyeol Lee

Publication date: 3 February 1999

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(95)00184-0

zbMATH Keywords

empirical processgoodness-of-fit testcontiguous alternativesmaximin propertychi-squared type statistic

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30)

Cites Work

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• Mathematical theory of statistics. Statistical experiments and asymptotic decision theory
• Approximations of the empirical process when parameters are estimated
• Testing for normality in arbitrary dimension
• Weak convergence of the sample distribution function when parameters are estimated
• Contiguity of Probability Measures

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