Local Chernoff and Hodges-Lehmann efficiencies of linear rank tests for symmetry

DOI10.1007/BF01254281zbMath0836.62035OpenAlexW2086864257MaRDI QIDQ1179890

Yakov Yu. Nikitin

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01254281

zbMATH Keywords

score functionrelative asymptotic efficiencytesting symmetryPitman's efficiencyprobabilities of large deviationslinear rank statisticsHodges-Lehmann asymptotic efficiencycalculus of variations methodsChernoff-Savage representationimplicit operatorsKullback- Leibler information minimizationlocal Bahadur exact slopeslocal Chernoff efficiencylocal Hodges-Lehmann indiceslocal ordering of linear rank statisticsSanov's principle

Mathematics Subject Classification ID

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

Related Items (1)

Toward the history of the St. Petersburg school of probability and statistics. IV: Characterization of distributions and limit theorems in statistics

Cites Work

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• Large deviation theorems for empirical probability measures
• Concepts of nonparametric theory
• Chernoff efficiency and deficiency
• Chernoff efficiency of the sign and Wilcoxon tests for testing the symmetry hypothesis
• An expansion of the index of large deviations for linear rank statistics
• The Efficiency of Some Nonparametric Competitors of the $t$-Test
• On the Hodges–Lehmann Asymptotic Efficiency of Nonparametric Tests of Goodness of Fit and Homogeneity
• Rates of Convergence of Estimates and Test Statistics
• A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations

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