A note on the Chernoff-Savage theorem

DOI10.1016/0378-3758(93)90017-ZzbMath0777.62051OpenAlexW2031331964MaRDI QIDQ2366571

Stefan S. Ralescu

Publication date: 30 August 1993

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(93)90017-z

zbMATH Keywords

asymptotic normalityempirical distribution functiontwo-sample problemChernoff-Savage theoremasymptotic negligiblitysimple linear rank statistic

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Cites Work

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• On the Efficiency of Optimal Nonparametric Procedures in the Two Sample Case
• Weak Convergence of a Two-sample Empirical Process and a New Approach to Chernoff-Savage Theorems
• An Elementary Method for Obtaining Lower Bounds on the Asymptotic Power of Rank Tests
• Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives
• On Some Convergence Properties of One-Sample Rank Order Statistics

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