Limiting behavior of the perturbed empirical distribution functions evaluated at a random point under dependence

zbMath0824.60030MaRDI QIDQ1894105

Shan Sun, Martien C. A. Van Zuijlen

Publication date: 31 October 1995

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

zbMATH Keywords

strong mixinglaw of iterated logarithmstationary sequence\(U\)-statisticsabsolute regularityperturbed empirical distribution functionsalmost sure representation

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)

Related Items (3)

Perturbed empirical distribution functions and quantiles under dependence ⋮ Some Asymptotic Properties Between Smooth Empirical and Quantile Processes for Dependent Random Variables ⋮ Smooth quantile estimators under strong mixing: necessary and sufficient conditions on bandwidth for weak convergence

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