Characterization of a Marshall-Olkin type class of distributions
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Publication:578800
DOI10.1007/BF02491480zbMath0624.62047MaRDI QIDQ578800
Pietro Muliere, Marco Scarsini
Publication date: 1987
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
copulafunctional equationcharacterizationbivariate distributionsMarshall-Olkin distributionsassociative operationslack of memory property
Characterization and structure theory for multivariate probability distributions; copulas (62H05) Characterization and structure theory of statistical distributions (62E10) Functional equations and inequalities (39B99)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monotone dependence
- Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models
- Copules archimédiennes et families de lois bidimensionnelles dont les marges sont données
- Sulle operazioni associative tra variabili casuali
- A functional equation and its application to the characterization of the Weibull and stable distributions
- Life Tests under Dependent Competing Causes of Failure
- A Multivariate Exponential Distribution