Order of normal approximation for rank test statistics distribution

DOI10.1214/aop/1176996358zbMath0323.62012OpenAlexW2070639682MaRDI QIDQ1224391

Jana Jureckova, Madan Lal Puri

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1214/aop/1176996358

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Limit theorems in probability theory (60F99)

Related Items (13)

Edgeworth expansion for signed linear rank statistics with regression constants ⋮ On the relative error in normal approximation for signed rank statistics with a broad range of scores ⋮ On the \(L_ p\) rates of convergence of simple linear rank statistics under contiguous alternatives ⋮ The modified mood test for the scale alternative and its numerical comparisons ⋮ Some asymptotic results for a broad class of nonparametric statistics ⋮ Moment inequalities for S n under general dependence restrictions, with applications ⋮ Remainder term estimate in a combinatorial limit theorem ⋮ Moment inequalities for S n under general dependence restrictions, with applications ⋮ On the rate of convergence in the central limit theorem for signed rank statistics ⋮ Edgeworth expansions for signed linear rank statistics under near location alternatives ⋮ Rates of convergence for linear rank statistics with dependent data ⋮ On the rate of convergence to normality for generalized linear rank statistics ⋮ A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics

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