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On the influence of the extremes of an i.i.d. sequence on the maximal spacings

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Publication:1077072
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DOI10.1214/aop/1176992622zbMath0594.60029OpenAlexW2006475104MaRDI QIDQ1077072

Paul Deheuvels

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1214/aop/1176992622


zbMATH Keywords

order statisticsCauchygamma distributionsmaximal spacingweak limiting behaviour


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)


Related Items (9)

A representation of Gibbs measure for the random energy model. ⋮ On the estimation of the Weibull tail coefficient ⋮ Minimal spacings of non-uniform densities ⋮ The almost sure behavior of maximal and minimal multivariate \(k_ n\)- spacings ⋮ Transport Monte Carlo: High-Accuracy Posterior Approximation via Random Transport ⋮ Divisible statistics ⋮ Limiting distribution of the maximal spacing when the density function admits a positive minimum ⋮ The limiting behavior of a modified maximal symmetric \(2s\)-spacing with applications ⋮ On the distribution function for the spacings




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