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One-sided refinements of the strong law of large numbers and the Glivenko-Cantelli theorem

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Publication:1201169
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DOI10.1214/aop/1176989688zbMath0762.60025OpenAlexW2026077439MaRDI QIDQ1201169

David Gilat, Theodore P. Hill

Publication date: 17 January 1993

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176989688


zbMATH Keywords

strong law of large numbersempirical distributionGlivenko-Cantelli theorem


Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)


Related Items (7)

Intermediate order statistics with applications to nonparametric estimation ⋮ Strongly-consistent, distribution-free confidence intervals for quantiles ⋮ Generalized madogram and pairwise dependence of maxima over two regions of a random field ⋮ The law of the iterated logarithm and central limit theorem for \(L\)-statistics ⋮ Alternative empirical distributions based on weighted linear combinations of order statistics ⋮ Growth Curve of Elephant Foot Yam, One Sided Estimation and Confidence Band ⋮ Unnamed Item




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