The characterization of distributions by order statistics and record values — a unified approach

DOI10.2307/3213643zbMath0538.62008OpenAlexW2313650537MaRDI QIDQ3324811

Paul Deheuvels

Publication date: 1984

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3213643

zbMATH Keywords

order statisticsrecord valuescharacterizationexponential distributionsunified approachcontinuous distribution

Mathematics Subject Classification ID

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

Related Items (14)

Characterizations via regression of generalized order statistics ⋮ Characterizations via Linear Regression of Ordered Random Variables: A Unifying Approach ⋮ \(K\)-record values and the extreme-value index ⋮ Strong approximation of the number of renewal paced record times ⋮ Characterizations of Distributions Based on Moments of Residual Life ⋮ A note on reliability properties of \(k\)-record statistics ⋮ Two characterizations of the exponential distribution ⋮ Order Statistics from Discrete Distributions ⋮ Some properties of record values coming from the geometric distribution ⋮ Estimation via record values ⋮ Progressively type-II right censored order statistics from discrete distributions ⋮ Characterizations based on record values and order statistics ⋮ Characterizations of discrete distributions based on conditional expectations of record values ⋮ An Estimator of the Exponent of Regular Variation Based on K-Record Values

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