Limiting distribution of the maximal spacing when the density function admits a positive minimum

DOI10.1016/0167-7152(92)90210-VzbMath0761.62014OpenAlexW1990512945MaRDI QIDQ1195557

Philippe Barbe

Publication date: 14 December 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(92)90210-v

zbMATH Keywords

order statisticsmaximal spacingdistribution of spacings

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30)

Related Items (2)

The limiting behavior of a modified maximal symmetric \(2s\)-spacing with applications ⋮ On the distribution function for the spacings

Cites Work

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• Random, nonuniform distribution of line segments on a circle
• Strong limit theorems for maximal spacings from a general univariate distribution
• On the influence of the extremes of an i.i.d. sequence on the maximal spacings
• Laws of the iterated logarithm for order statistics of uniform spacings
• A log log law for maximal uniform spacings
• Strong limiting bounds for maximal uniform spacings
• Upper bounds for k-th maximal spacings

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