On the moments of record values

DOI10.1080/03610920008832569zbMath1019.62014OpenAlexW2066426069MaRDI QIDQ4541739

Mohammad Zayed Raqab

Publication date: 28 July 2002

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920008832569

zbMATH Keywords

recurrence relationsHölder inequalitygeneralized Pareto distributiongeneralized exponential distributionsymmetric distributions

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (14)

SHARP BOUNDS FOR THE MEAN OFkTH RECORD VALUE ⋮ Conditions for finiteness and bounds on moments of record values from iid continuous life distributions ⋮ P-norm bounds for moments of progressive type II censored order statistics. ⋮ Upper and lower bounds on the variances of linear combinations of thekth records ⋮ Lower bounds on the expectations of upper record values ⋮ Series approximations for the means of \(k\)-records ⋮ Maximum variance of \(k\)th records ⋮ Evaluations of the mean residual lifetime of an \(m\)-out-of-\(n\) system ⋮ Comparison of Records and Maxima ⋮ Distribution-free bounds for expectations of increments of records ⋮ Unnamed Item ⋮ On maximum variance ofkth records ⋮ Optimal upper bounds on expected kth record values from IGFR distributions ⋮ Sharp bounds on the expectations of second record values from symmetric populations

Cites Work

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• Asymptotic linear prediction of extreme order statistics
• p-norm bounds on the expectation of the maximum of a possibly dependent sample
• On characterizations of distributions via moments of record values
• Linear prediction of record values for the two parameter exponential distribution
• Relations for single and product moments of record values from Gumbel distribution
• Bounds based on greatest convex minorants for moments of record values
• Limit laws for record values
• Closure and Monotonicity Properties of Nonhomogeneous Poisson Processes and Record Values
• ON THE EXPECTED VALUES OF RECORD VALUES¹
• Recurrence relations for single and product moments of record values from generalized pareto distribution
• Record values of the Lomax distribution
• Certain General Properties of Unbiased Estimates of Location and Scale Parameters Based on Ordered Observations

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