The asymptotic tail behaviours of projection pursuit - type Kolmogorov statistics

DOI10.1016/0167-7152(94)00229-2zbMath0841.62042OpenAlexW1997068798MaRDI QIDQ1907918

Ping Cheng, Li Xing Zhu

Publication date: 18 July 1996

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

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00229-2

zbMATH Keywords

Gaussian processesboundsprojection pursuit-type Kolmogorov statisticstail probabilities of limit variables

Mathematics Subject Classification ID

Multivariate analysis (62H99) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30)

Cites Work

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• Central limit theorems for empirical measures
• Asymptotics via empirical processes. With comments and a rejoinder by the author
• Invariance principles for sums of Banach space valued random elements and empirical processes
• On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
• Convergence of stochastic processes

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