Probabilities of large deviations of type II errors for tests of Kolmogorov and omega-square types

DOI10.1007/s10958-005-0201-4zbMath1072.62038OpenAlexW1978721138MaRDI QIDQ2567784

Mikhail Sergeevich Ermakov

Publication date: 13 October 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0201-4

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Large deviations (60F10) Applications of functional analysis in probability theory and statistics (46N30)

Cites Work

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• On asymptotic minimaxity of Kolmogorov and omega-square tests
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• On asymptotic minimaxity of rank tests
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• Асимптотическая минимаксность критериев хи-квадрат
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Gaussian Measure of Large Balls in a Hilbert Space
• On the Rate of Convergence in the Central Limit Theorem in Certain Banach Spaces
• Exact Bahadur Efficiencies for the Kolmogorov-Smirnov and Kuiper One- and Two-Sample Statistics

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