Characterization of distributions by the expected values of the order statistics

DOI10.1007/BF02504627zbMath0362.62013MaRDI QIDQ1239987

K. Appert

Publication date: 1975

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)

Related Items (13)

Two characterizations based on order statistics and records ⋮ Expected convex hulls, order statistics, and Banach space probabilities ⋮ On characterizations of distributions by expected values of order statistics and record values with gap ⋮ Some theory and practical uses of trimmed \(L\)-moments ⋮ Characterizations of uniform and exponential distributions ⋮ On characterizations based on record values and order statistics ⋮ A note on Bernstein and Müntz-Szasz theorems with applications to the order statistics ⋮ Bivariate distributions with Weibull conditionals ⋮ A general recurrence relation for moments of order statistics in a class of probability distributions and characterizations ⋮ Characterizations using record moments in a random record model and applications ⋮ Characterizations based on Rényi entropy of order statistics and record values ⋮ On the characterization of distributions by their \(L\)-moments ⋮ On characterizations of distributions via moments of record values

Cites Work

• On equal distributions
• On the Moments of the Sample Quantiles
• On a Characterization of Distributions by Expected Values of Extreme Order Statistics
• A Note on Order Statistics
• Extremal Properties of Extreme Value Distributions
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