A large deviation result for signed linear rank statistics under the symmetry hypothesis

DOI10.1214/aos/1176349955zbMath0616.62021OpenAlexW1969834184MaRDI QIDQ1821442

Tiee-Jian Wu

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1214/aos/1176349955

zbMATH Keywords

Gaussian distributionmean deviationsymmetric distributionsdeviation from normalitysigned linear rank statisticsCramér type large deviation theoremunbounded score functions

Mathematics Subject Classification ID

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

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On the relative error in normal approximation for signed rank statistics with a broad range of scores ⋮ Some asymptotic results for a broad class of nonparametric statistics

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