A note on asymptotic distribution of permutation statistics from mixing processes

DOI10.1080/03610929608831846zbMath0900.62089OpenAlexW2067743425MaRDI QIDQ3125764

Wenyaw Chan, Dejian Lai

Publication date: 1996

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

Full work available at URL: https://doi.org/10.1080/03610929608831846

zbMATH Keywords

asymptotic normalitypermutation statistics\(U\)-statistics\(D\)-statistics

Mathematics Subject Classification ID

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

Related Items (1)

A comparative study on a permutation statistic

Cites Work

• Asymptotic distributions of weighted \(U\)-statistics of degree 2
• Limit theorems for a triangular scheme of U-statistics with applications to inter-point distances
• Asymptotic normality for a general statistic from a stationary sequence
• Asymptotic normality of permutation statistics derived from weighted sums of bivariate functions
• Reduced U-statistics and the Hodges-Lehmann estimator
• Approximation Theorems of Mathematical Statistics

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