An extension of the Erdős-Neveu-Rényi theorem with aplications to order statistics

DOI10.1016/S0167-7152(01)00114-6zbMath0994.62045MaRDI QIDQ5956487

Marek Kaluszka, Andrzej Okolewski

Publication date: 4 September 2002

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

zbMATH Keywords

order statisticsdependent random variablesBonferroni-type inequalitiesempirical distribution functionsexchangeable random variables

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Exchangeability for stochastic processes (60G09)

Related Items (6)

Sharp bounds for \(L\)-statistics from dependent samples of random length ⋮ An extension of Kemperman's characterization on \(k\)-independence and its application ⋮ Polygonal smoothing of the empirical distribution function ⋮ Extremal properties of order statistic distributions for dependent samples with partially known multidimensional marginals ⋮ Bounds on expectations ofL-estimates for maximally and minimally stable samples ⋮ Stability of \(L\)-statistics from weakly dependent observations

Cites Work

• Stochastically extremal distributions of order statistics for dependent samples
• Bounds on distribution functions of order statistics for dependent variates
• Bounds on expectations of order statistics via extremal dependences
• Bonferroni-type inequalities; Chebyshev-type inequalities for the distributions on \([0, n\)]
• Bounds for order statistics based on dependent variables with given nonidentical distributions
• A note on the background of several Bonferroni–Galambos-type inequalities
• Bounds for expectation of l-estimates for dependent samples
• On Characterizations of Prüfer Rings.
• Unnamed Item

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