On the weak limit law of the maximal uniform k-spacing

DOI10.1017/apr.2016.52zbMath1426.60030arXiv1508.00944OpenAlexW2963815748MaRDI QIDQ5197407

Aleksandar Mijatović, Vladislav V. Vysotsky

Publication date: 23 September 2019

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00944

zbMATH Keywords

order statisticsuniform distributionmaximal \(k\)-spacing

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Extreme value theory; extremal stochastic processes (60G70)

Related Items (2)

Optimal rules for the sequential selection of uniform spacings ⋮ Stability of overshoots of zero mean random walks

Cites Work

• Laws of the iterated logarithm for order statistics of uniform spacings
• Strong limiting bounds for maximal uniform spacings
• Strong laws for the maximal k-spacing when k?c log n
• Extreme Values in Samples from $m$-Dependent Stationary Stochastic Processes
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