Strong limit theorems for maximal spacings from a general univariate distribution

DOI10.1214/aop/1176993147zbMath0558.62018OpenAlexW1971583182MaRDI QIDQ762848

Paul Deheuvels

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1214/aop/1176993147

zbMATH Keywords

order statisticsstatistics of extremeslaws of iterated logarithmgeneral univariate distributionmaximal spacings

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)

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Resistant estimates for high dimensional and functional data based on random projections ⋮ Incomplete generalized \(L\)-statistics ⋮ The almost sure behavior of maximal and minimal multivariate \(k_ n\)- spacings ⋮ On the estimation of monotone uniform approximations ⋮ One-dimensional geometric random graphs with nonvanishing densities. II: A very strong zero-one law for connectivity ⋮ Strong laws for exponential order statistics and spacings ⋮ Limiting distribution of the maximal spacing when the density function admits a positive minimum ⋮ On the Hausdorff dimension of exceptional random sets generated by multivariate spacings ⋮ Quantile-based nonparametric inference for first-price auctions ⋮ The limiting behavior of a modified maximal symmetric \(2s\)-spacing with applications ⋮ Unnamed Item ⋮ The asymptotic distribution of a cluster-index for i.i.d. normal random variables

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