On tail probabilities of Kolmogorov-Smirnov statistics based on uniform mixing processes

DOI10.1016/S0167-7152(98)00254-5zbMath0929.62010MaRDI QIDQ1292774

Tae Yoon Kim

Publication date: 30 January 2000

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

Kolmogorov-Smirnov statisticuniform mixingmultidimensional empirical processes

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30) Statistical distribution theory (62E99)

Related Items (3)

Concentration of empirical distribution functions with applications to non-i.i.d. models ⋮ Moment Inequalities for Supremum of Empirical Processes forφ-Mixing Sequences ⋮ One-dimensional empirical measures, order statistics, and Kantorovich transport distances

Cites Work

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• On tail probabilities of Kolmogorov-Smirnov statistic based on strong mixing processes
• Weak convergence of multidimensional empirical processes for stationary \(\varphi\)-mixing processes
• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications

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