On the Glivenko-Cantelli theorem for generalized empirical processes based on strong mixing sequences

DOI10.1016/0167-7152(90)90026-4zbMath0712.60030OpenAlexW2052605080MaRDI QIDQ749017

Y. S. Rama Krishnaiah

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0167-7152(90)90026-4

zbMATH Keywords

almost sure convergencegeneralized empirical processesstrong mixing sequence

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15)

Related Items (3)

Nonparametric estimates for conditional quantiles of time series ⋮ On tail probabilities of Kolmogorov-Smirnov statistic based on strong mixing processes ⋮ On the Glivenko-Cantelli theorem for generalized empirical processes based on strong mixing sequences

Cites Work

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• A note on empirical processes of strong-mixing sequences
• On large deviations of the empiric D.F. of vector chance variables and a law of the iterated logarithm
• Conditions for linear processes to be strong-mixing
• Probability Inequalities for Sums of Bounded Random Variables
• On the Spectrum of Stationary Gaussian Sequences Satisfying the Strong Mixing Condition. II. Sufficient Conditions. Mixing Rate

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