\(L_ p\)-nonuniform bounds for asymptotic normality of linear rank statistics

DOI10.1016/0167-7152(90)90147-YzbMath0695.62022OpenAlexW2064322434MaRDI QIDQ910122

Tiee-Jian Wu

Publication date: 1990

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(90)90147-y

zbMATH Keywords

simple linear rank statisticsWilcoxon scoresnonuniform central limit order boundvan der Waerden scores

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Nonparametric inference (62G99)

Cites Work

• Cramér type large deviations for generalized rank statistics
• An Edgeworth expansion for simple linear rank statistics under the null- hypothesis
• Edgeworth expansion for signed linear rank statistics with regression constants
• Berry-Esseen theorems for simple linear rank statistics under the null- hypothesis
• Asymptotic expansions for the power of distribution free tests in the one-sample problem
• \(L_1\) rates of convergence for linear rank statistics
• The rate of convergence of simple linear rank statistics under hypothesis and alternatives
• An \(L_p\) bound for the remainder in a combinatorial central limit theorem
• An estimate of the remainder in a combinatorial central limit theorem
• [https://portal.mardi4nfdi.de/wiki/Publication:3956160 Cram�r type large deviations for simple linear rank statistics]
• Remainder term estimate in a combinatorial limit theorem
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