On tail probabilities of Kolmogorov-Smirnov statistics based on uniform mixing processes
type: Item
instance of: scholarly article
title: On tail probabilities of Kolmogorov-Smirnov statistics based on uniform mixing processes
zbMATH Open document ID: 0929.62010
DOI: 10.1016/S0167-7152(98)00254-5
author: Tae Yoon Kim
published in: Statistics \& Probability Letters
publication date: 2000-01-30T00:00:00Z
review text: The present note improves a result by \textit{P.K. Sen} [Ann. Probab. 2, 147-154 (1974; Zbl 0276.60030)] on the tail probabilities of the Kolmogorov-Smirnov statistic for sequences of \(\phi\)-mixing random vectors. It is shown that summability of the mixing coefficients is sufficient for the validity of Sen's theorem.
reviewed by: Dirk Tasche
Mathematics Subject Classification ID: 62E15
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 62G30
Mathematics Subject Classification ID: 62E99
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 1321878
zbMATH Keywords: Kolmogorov-Smirnov statistic
zbMATH Keywords: uniform mixing
zbMATH Keywords: multidimensional empirical processes
MaRDI profile type: Publication
cites work: Q5560061
cites work: Convergence Criteria for Multiparameter Stochastic Processes and Some Applications
cites work: On tail probabilities of Kolmogorov-Smirnov statistic based on strong mixing processes
cites work: Weak convergence of multidimensional empirical processes for stationary \(\varphi\)-mixing processes
cites work: Q3911780
description: scientific article; zbMATH DE number 1321878