Asymptotic independence of distributions of normalized order statistics of the underlying probability measure

DOI10.1016/0047-259X(81)90083-XzbMath0469.60024OpenAlexW1970232807MaRDI QIDQ1157074

Rolf-Dieter Reiss

Publication date: 1981

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(81)90083-x

zbMATH Keywords

normalized order statisticsuniform distance of measures over all Borel sets

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items (2)

Comparison of location models of Weibull type samples and extreme value processes ⋮ Bootstrapping the distance between smooth bootstrap and sample quantile distribution

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximation of product measures with an application to order statistics
• On the uniform asymptotic joint normality of sample quantiles
• A law of the iterated logarithm for functions of order statistics
• On the accuracy of the normal approximation for quantiles
• The asymptotic joint distribution of an increasing number of sample quantiles
• Distinguishability of Sets of Distributions
• Asymptotic inference about a density function at an end of its range
• Statistical procedures based on a gradually increasing number of order statistics
• On Some Useful "Inefficient" Statistics

This page was built for publication: Asymptotic independence of distributions of normalized order statistics of the underlying probability measure