Upper bounds for k-th maximal spacings

DOI10.1007/BF00534198zbMath0488.60041MaRDI QIDQ3949736

Paul Deheuvels

Publication date: 1983

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

zbMATH Keywords

law of the iterated logarithmalmost sure convergencestrong approximationstrong lawsuniform spacings

Mathematics Subject Classification ID

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

Related Items (8)

Testing multivariate uniformity: The distance‐to‐boundary method ⋮ Strong laws for exponential order statistics and spacings ⋮ Limiting distribution of the maximal spacing when the density function admits a positive minimum ⋮ Nonparametric likelihood based estimation for a multivariate Lipschitz density ⋮ 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 ⋮ Strong bounds for multidimensional spacings

Cites Work

• Unnamed Item
• 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
• The strong approximation of extremal processes

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