Joint approximation of processes based on spacings and order statistics

DOI10.1016/0304-4149(94)90069-8zbMath0813.62045OpenAlexW2053656607MaRDI QIDQ1343585

Philippe Barbe

Publication date: 6 June 1995

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(94)90069-8

zbMATH Keywords

empirical processesKiefer processjoint approximationrenewal empirical distributionspacings empirical distribution

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Renewal theory (60K05)

Related Items (2)

A simple ordered data estimator for inverse density weighted expectations ⋮ Testing exponentiality by comparing the empirical distribution function of the normalized spacings with that of the original data

Cites Work

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• Bahadur-Kiefer-type processes
• Weighted empirical and quantile processes
• Sums, Trimmed sums and extremes
• Weighted approximation of the renewal spacing processes
• Bahadur–Kiefer Theorems for Uniform Spacings Processes
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Convergence of Quantile and Spacings Processes with Applications
• Justification and Extension of Doob's Heuristic Approach to the Kolmogorov- Smirnov Theorems

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