Characterization of the logistic and loglogistic distributions by extreme value related stability with random sample size

DOI10.2307/3214209zbMath0638.62009OpenAlexW4242895803MaRDI QIDQ3779571

Wim J. Voorn

Publication date: 1987

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

Full work available at URL: https://doi.org/10.2307/3214209

zbMATH Keywords

characterizationsgeometric distributionrandom sample sizeincreasing failure ratesymmetric distributionsextended geometric distributionextended logistic distributionextended loglogistic distributionextreme value related stabilitylog-transforms related maximum stability

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

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