Asymptotic behavior of the perturbed empirical distribution functions for nonstationary absolutely regular processes

DOI10.1016/J.CRMA.2005.01.018zbMath1062.62028OpenAlexW1968785504MaRDI QIDQ1776844

Michel Harel, Echarif Elharfaoui

Publication date: 12 May 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.01.018

Mathematics Subject Classification ID

Multivariate analysis (62H99) Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30)

Cites Work

• Asymptotic behavior of the perturbed empirical distribution functions evaluated at a random point for absolutely regular sequences
• La convergence faible des \(U\)-statistiques multivariées pour des processus non stationnaires. (The slow convergence of multivariate \(U\)-statistics for nonstationary processes)
• Limiting behavior of U-statistics, V-statistics, and one sample rank order statistics for nonstationary absolutely regular processes
• Remarks on Some Nonparametric Estimates of a Density Function

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