Characterizations of the exponential distribution by Pascal compound

DOI10.1080/03610926.2013.818699zbMath1338.60052OpenAlexW2011017232MaRDI QIDQ2807656

Maria Iwińska, Magdalena Szymkowiak

Publication date: 25 May 2016

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

Full work available at URL: https://doi.org/10.1080/03610926.2013.818699

zbMATH Keywords

exponential distributionrecord valuescharacterizationstochastic orderincreasing convex orderPascal compounding model

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50) Characterization and structure theory of statistical distributions (62E10)

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Geometric Tweedie regression models for continuous and semicontinuous data with variation phenomenon ⋮ Characterizations of distributions through selected functions of reliability theory

Cites Work

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• Equality in distribution in a convex ordering family
• Characterizations of the exponential distribution by stochastic ordering properties of the geometric compound
• Characterizations of Aging Classes in Terms of Spacings Between Record Values
• Multidimensional Stochastic Ordering and Associated Random Variables
• On the characteristic properties of exponential distribution

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