Asymptotic normality of MRPP statistics from invariance principles of u-statistics

DOI10.1080/03610928008827907zbMath0435.62049OpenAlexW2015673998MaRDI QIDQ3875124

Paul W. jun. Mielke, Federico J. O'Reilly

Publication date: 1980

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928008827907

zbMATH Keywords

weak convergenceasymptotic normalityBrownian motionBrownian bridgesequential samplingmulti-response permutation proceduresinvariance principles of U-statistics

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Classification and discrimination; cluster analysis (statistical aspects) (62H30)

Related Items (4)

On moderate deviations for martingales ⋮ Asymptotic behavior of multi-response permutation procedures ⋮ Combinatorial data analysis: Confirmatory comparisons between sets of matrices ⋮ Non-metric statistical analyses: Some metric alternatives

Cites Work

• Multi-response permutation procedures for a priori classifications
• Clarification and Appropriate Inferences for Mantel and Valand's Nonparametric Multivariate Analysis Technique
• On the Properties of U-Statistics When the Observations are not Independent
• A Class of Statistics with Asymptotically Normal Distribution

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