Cramér type large deviations for generalized rank statistics

DOI10.1214/aop/1176993070zbMath0558.62019OpenAlexW2160288830MaRDI QIDQ762850

Munsup Seoh, Stefan S. Ralescu, Madan Lal Puri

Publication date: 1985

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993070

zbMATH Keywords

relative errornormal approximationtriangular arrayCramer type large deviationsgeneralized linear rank statisticslinear combination of functions of order statisticsrank combinatorial statisticregression constantsscore generating functionsigned linear rank statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Large deviations (60F10)

Related Items (11)

On the relative error in normal approximation for signed rank statistics with a broad range of scores ⋮ Central limit theorems under alternatives for a broad class of nonparametric statistics ⋮ \(L_ 1\) nonuniform central limit bounds for generalized rank statistics ⋮ Rank-based max-sum tests for mutual independence of high-dimensional random vectors ⋮ \(L_ p\)-nonuniform bounds for asymptotic normality of linear rank statistics ⋮ Contiguous alternatives which preserve Cramér-type large deviations for a general class of statistics ⋮ Large and moderate deviations for \(L\)-statistics ⋮ Cramér type large deviations for a class of statistics ⋮ Simple exact bounds for distributions of linear signed rank statistics ⋮ Some asymptotic results for a broad class of nonparametric statistics ⋮ Asymptotic distribution of the largest off-diagonal entry of correlation matrices

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