Asymptotic distribution of simple linear rank statistics for testing symmetry

DOI10.1007/BF00533668zbMath0217.51101MaRDI QIDQ5621853

Marie Hušková

Publication date: 1970

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic properties of parametric estimators (62F12) Asymptotic distribution theory in statistics (62E20)

Related Items (20)

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 ⋮ Rank statistics under dependent observations and applications to factorial designs ⋮ Central limit theorems under alternatives for a broad class of nonparametric statistics ⋮ Asymptotic normality of signed rank statistics ⋮ An elementary proof of CLT for signed rank statistics with regression constants under hypothesis of symmetry ⋮ A Note on Signed Rank Tests for the Changepoint Problem ⋮ Rank tests in heteroscedastic linear model with nuisance parameters ⋮ Simple exact bounds for distributions of linear signed rank statistics ⋮ Some asymptotic results for a broad class of nonparametric statistics ⋮ Joint asymptotic multinormality for a class of rank order statistics in multivariate paired comparisons ⋮ Limiting behavior of one-sample rank-order statistics for absolutely regular processes ⋮ Unnamed Item ⋮ Serial and nonserial sign-and-rank statistics: Asymptotic representation and asymptotic nor\-mal\-ity ⋮ Asymptotic distribution of rank statistics for experiments involving incomplete block designs ⋮ Unnamed Item ⋮ Asymptotic distribution of rank statistics under dependencies with multivariate application ⋮ Edgeworth expansions for signed linear rank statistics under near location alternatives ⋮ On the rate of convergence to normality for generalized linear rank statistics ⋮ Gaussian approximation of signed rank statistics process

Cites Work

• Unnamed Item
• Asymptotic Efficiency of a Class of Non-Parametric Tests for Regression Parameters
• Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives

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