Asymptotics for multisample statistics

DOI10.2307/3315443zbMath0831.60047OpenAlexW2167639151MaRDI QIDQ4855332

Jean Vaillancourt

Publication date: 20 February 1996

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315443

zbMATH Keywords

strong law of large numberslaw of the iterated logarithmcentral limit theoremalmost sure convergence resultsHenze-Schilling test statistic

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Cites Work

• Nearest-neighbor analysis of a family of fractal distributions
• A multivariate two-sample test based on the number of nearest neighbor type coincidences
• The jackknife estimate of variance
• Some results on the behavior and estimation of the fractal dimensions of distributions on attractors
• Almost sure convergence of certain slowly changing symmetric one- and multi-sample statistics
• Dependent central limit theorems and invariance principles
• A branch and bound algorithm for constrained least squares
• Multivariate Two-Sample Tests Based on Nearest Neighbors
• Central limit theorems for local martingales
• A martingale approach to central limit theorems for exchangeable random variables
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