Generalized Pareto Distributions Characterized by Generalized Order Statistics

DOI10.1080/03610920601077048zbMath1115.62017OpenAlexW2160729256MaRDI QIDQ3593552

Majid Asadi, Mahdi Tavangar

Publication date: 23 July 2007

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

Full work available at URL: https://doi.org/10.1080/03610920601077048

zbMATH Keywords

exponential distributionrecord valuesuniform distributionmean residual life function

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (5)

Characterizations of the Weibull and uniform distributions using record values ⋮ On characterizations of the generalized Pareto distributions based on progressively censored order statistics ⋮ Generalized integrated Cauchy functional equation with applications to probability models ⋮ Some properties of the residual lifetime of progressively type-II right censored order statistics ⋮ Some unified characterization results on the generalized Pareto distributions based on generalized order statistics

Cites Work

• A concept of generalized order statistics
• On the mean past lifetime of the components of a parallel system
• A note on residual life
• ON CHARACTERIZING DISTRIBUTIONS VIA LINEARITY OF REGRESSION FOR ORDER STATISTICS
• Some unified characterization results on generalized Pareto distributions
• Linearity of regression for non-adjacent order statistics.

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