Moment Problem of Order Statistics: A Review

DOI10.2307/1403584zbMath0707.62092OpenAlexW2325654140MaRDI QIDQ3489119

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Publication date: 1989

Published in: International Statistical Review / Revue Internationale de Statistique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1403584

zbMATH Keywords

moment problemorder statisticscharacterizationexpected valueMüntz theorem\(L_ 1\)-completeness

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30)

Related Items (16)

Moments of Order Statistics—From Even to Odd Sample Sizes ⋮ Two characterizations based on order statistics and records ⋮ Recurrence relations for moments of record values ⋮ A concept of generalized order statistics ⋮ Order Statistics from Discrete Distributions ⋮ On the order statistics of standard normal-based power method distributions ⋮ The generalized lognormal distribution and the Stieltjes moment problem ⋮ A general recurrence relation for moments of order statistics in a class of probability distributions and characterizations ⋮ Inverse Stochastic Dominance, Majorization, and Mean Order Statistics ⋮ Moment inequalities for order statistics with applications to characterizations of distributions ⋮ Stochastic orders and majorization of mean order statistics ⋮ Characterizations of symmetric distributions using equi-distributions and moment properties of functions of order statistics ⋮ LQ-moments: Analogs of L-moments ⋮ On the characterization of distributions by their \(L\)-moments ⋮ An identity for expectations of functions of order statistics ⋮ Characterizations based on the numbers of near-order statistics

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