Strong bounds for weighted empirical distribution functions based on uniform spacings

DOI10.1214/aop/1176991888zbMath0652.60037OpenAlexW2021689554MaRDI QIDQ1107206

John H. J. Einmahl, Martien C. A. Van Zuijlen

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1214/aop/1176991888

zbMATH Keywords

strong convergenceorder statisticsexponential lawuniform spacingscharacterization of the almost sure behavior

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Sample path properties (60G17)

Related Items (5)

The almost sure behavior of maximal and minimal multivariate \(k_ n\)- spacings ⋮ Bootstrapping the renewal spacings processes ⋮ Multivariate spacings based on data depth. I: Construction of nonparametric multivariate tolerance regions ⋮ Glivenko-Cantelli-type theorems for weighted empirical distribution functions based on uniform spacings ⋮ On the standarized empirical process

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