Large deviations and asymptotic efficiency of integral statistics for testing independence

DOI10.1007/BF01095081zbMath0663.62056OpenAlexW2039765214MaRDI QIDQ1114262

Yakov Yu. Nikitin

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01095081

zbMATH Keywords

Bahadur exact slopeBahadur efficiencylocal asymptotic optimalityintegral statistic

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Large deviations (60F10)

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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• Local Bahadur efficiency of rank tests for the independence problem
• Large deviation theorems for empirical probability measures
• Cramer-von Mises tests for independence
• On a cramér-von mises type statistic for testing bivariate independence
• Distribution Free Tests of Independence Based on the Sample Distribution Function
• Rates of Convergence of Estimates and Test Statistics
• Large Deviations and Bahadur Efficiency of Linear Rank Statistics
• A Non-Parametric Test of Independence

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