Limiting behavior of the perturbed empirical distribution functions evaluated at \(U\)-statistics for strongly mixing sequences of random variables

DOI10.1155/S1048953397000026zbMath0873.62050OpenAlexW2114222490MaRDI QIDQ1357890

Shan Sun, Ching-Yuan Chiang

Publication date: 27 July 1997

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/47718

zbMATH Keywords

law of the iterated logarithminvariance principle\(U\)-statisticalmost sure representationperturbed empirical distribution functionstrongly mixing sequences of random variables

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

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