Strong limiting bounds for maximal uniform spacings

DOI10.1214/aop/1176993728zbMath0505.60033OpenAlexW2145552316MaRDI QIDQ1836442

Paul Deheuvels

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1214/aop/1176993728

zbMATH Keywords

almost sure convergencelaw of iterated logarithmMarkovian representationmaximal uniform spacingsstrong limiting bounds

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)

Related Items (15)

Choices and intervals ⋮ The almost sure behavior of maximal and minimal multivariate \(k_ n\)- spacings ⋮ Optimal rules for the sequential selection of uniform spacings ⋮ Limiting distribution of the maximal spacing when the density function admits a positive minimum ⋮ On a problem concerning spacings ⋮ On the Hausdorff dimension of exceptional random sets generated by multivariate spacings ⋮ Strong laws for the maximal k-spacing when k?c log n ⋮ On the Erdös-Rényi theorem for random fields and sequences and its relationships with the theory of runs and spacings ⋮ On the weak limit law of the maximal uniform k-spacing ⋮ The limiting behavior of a modified maximal symmetric \(2s\)-spacing with applications ⋮ Optimal quantization via dynamics ⋮ The asymptotic distribution of a cluster-index for i.i.d. normal random variables ⋮ Maximal divergent uniform spacings ⋮ Strong bounds for multidimensional spacings ⋮ Upper bounds for k-th maximal spacings

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