On the relative error in normal approximation for signed rank statistics with a broad range of scores

DOI10.1016/0378-3758(94)90116-3zbMath0808.62046OpenAlexW2001928577MaRDI QIDQ1330213

Munsup Seoh

Publication date: 16 March 1995

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(94)90116-3

zbMATH Keywords

normal approximationsymmetry hypothesessigned rank statisticsCramér-type large deviation results

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Large deviations (60F10)

Cites Work

• Cramér type large deviations for generalized rank statistics
• An Edgeworth expansion for simple linear rank statistics under the null- hypothesis
• Berry-Esseen-type bounds for signed linear rank statistics with a broad range of scores
• Edgeworth expansion for signed linear rank statistics with regression constants
• Cramer type large deviations for linear combinations of order statistics
• Berry-Esseen theorems for simple linear rank statistics under the null- hypothesis
• 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
• A large deviation result for signed linear rank statistics under the symmetry hypothesis
• Some Extensions of the Wald-Wolfowitz-Noether Theorem
• The Order of Normal Approximation for Signed Linear Rank Statistics
• Large Deviation Probabilities for U-Statistics
• [https://portal.mardi4nfdi.de/wiki/Publication:3956160 Cram�r type large deviations for simple linear rank statistics]
• 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
• Generalization of a Probability Limit Theorem of Cramer
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