A general recurrence relation for moments of order statistics in a class of probability distributions and characterizations

DOI10.1007/BF02613613zbMath0735.62011OpenAlexW1984005109MaRDI QIDQ1181138

Udo Kamps

Publication date: 27 June 1992

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/176348

zbMATH Keywords

Paretocharacterizationsexponential distributionslogistic distributionsLomaxpower function distributionsrecurrence relations for moments of order statistics

Mathematics Subject Classification ID

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

Related Items

Complementary beta regression model for fitting bounded data ⋮ Recurrence relations for moments of record values ⋮ On characterizations of distributions by expected values of order statistics and record values with gap ⋮ A concept of generalized order statistics ⋮ Families of distributions arising from distributions of order statistics ⋮ On characterization of certain distributions of record values ⋮ GS-distributions: a new family of distributions for continuous unimodal variables ⋮ Order statistics from the doubly truncated linear-exponential distribution and its characterizations ⋮ On a Class of Distributions Defined by the Relationship Between Their Density and Distribution Functions ⋮ Modeling and Fitting Quantile Distributions and Regressions ⋮ Bounds for means and variances of progressive type II censored order statistics ⋮ Order statistics from overlapping samples: bivariate densities and regression properties ⋮ An identity for the product moments of order statistics ⋮ One property of the Student's distribution with two degrees of freedom ⋮ Relations for expectations of functions of generalized order statistics ⋮ An identity for expectations of functions of order statistics ⋮ The complementary beta distribution ⋮ An identity for the conditional expectations of functions of adjacent order statistics

Cites Work

• Inequalities for moments of order statistics and characterizations of distributions
• Characterizations of distributions via relationships between two moments of order statistics
• A note on Bernstein and Müntz-Szasz theorems with applications to the order statistics
• Characterization of distributions by the expected values of the order statistics
• Moments of order statistics from Burr distribution and its characterizations
• Recurrence relations between moments of order statistics
• Recurrence Relations And Identities For Moments Of Order Statistics, II; Specific Continuous Distributions
• Recurrence relations mid identities for moments of order statistics, i: arbitrary continuous distribution
• Moment Problem of Order Statistics: A Review
• Characterizations of the exponential distribution by order statistics
• On a theorem of Ahsanullah and Rahman
• Note on Moments of a Logistic Order Statistics
• A characterization of the exponential distribution
• Relations Between Moments of Order Statistics
• On the Distribution of the Expected Values of the Order Statistics
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