On a problem concerning spacings

DOI10.1007/BF00531531zbMath0538.60017OpenAlexW2019357273MaRDI QIDQ3324729

Shi Hong Cheng

Publication date: 1984

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00531531

zbMATH Keywords

order statisticsspacingsalmost sure convergenceFibonacci distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Strong limit theorems (60F15)

Related Items (1)

Approximating the distribution of an extreme value statistic based on estimates from a generating function

Cites Work

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• 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
• Consistent cross-validated density estimation
• Entropy and maximal spacings for random partitions
• On the Rate of Growth of the Partial Maxima of a Sequence of Independent Identically Distributed Random Variables.
• On a Class of Problems Related to the Random Division of an Interval
• Extreme Values in Samples from $m$-Dependent Stationary Stochastic Processes

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