Weighted empirical spacings processes

DOI10.2307/3314799zbMath0609.62031OpenAlexW2161545774MaRDI QIDQ3749906

Lajos Horváth, Miklós Csörgő

Publication date: 1986

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3314799

zbMATH Keywords

order statisticsasymptotic distributionexponential distributionGaussian processcharacterizationPoisson processempirical distribution functionweighted sup-norm metricsempirical spacings process

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items

Glivenko-Cantelli-type theorems for weighted empirical distribution functions based on uniform spacings

Cites Work

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• The asymptotic distribution of the supremum of the standardized empirical distribution function on subintervals
• The asymptotic distribution of the suprema of the standardized empirical processes
• The asymptotic distribution of weighted empirical distribution functions
• Strong and weak approximations of k-spacings processes
• Asymptotic spacings theory with applications to the two-sample problem