Edgeworth expansion for signed linear rank statistics with regression constants

DOI10.1016/0378-3758(84)90066-1zbMath0594.62046OpenAlexW1985786404MaRDI QIDQ1077111

Munsup Seoh, Madan Lal Puri

Publication date: 1984

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(84)90066-1

zbMATH Keywords

Edgeworth expansionsigned linear rank statisticschi-quantile functionDoes's conditioning argumentsscore generating functionsvan Zwet's method

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Central limit and other weak theorems (60F05)

Related Items (7)

On the relative error in normal approximation for signed rank statistics with a broad range of scores ⋮ \(L_ p\)-nonuniform bounds for asymptotic normality of linear rank statistics ⋮ Simple exact bounds for distributions of linear signed rank statistics ⋮ Some asymptotic results for a broad class of nonparametric statistics ⋮ Significance levels of linear rank tests using Edgeworth expansions ⋮ Edgeworth expansions for signed linear rank statistics under near location alternatives ⋮ On the rate of convergence to normality for generalized linear rank statistics

Cites Work

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• Order of normal approximation for rank test statistics distribution
• The rate of convergence of simple linear rank statistics under hypothesis and alternatives
• Convergence and remainder terms in linear rank statistics
• Edgeworth expansions in nonparametric statistics
• Centering of Signed Rank Statistics with a Continuous Score-Generating Function
• Asymptotically Most Powerful Rank-Order Tests
• Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives
• Asymptotic distribution of simple linear rank statistics for testing symmetry
• An Approximation for the Exact Distribution of the Wilcoxon Test for Symmetry

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