Definitions, characterizations and structural properties of probability distributions similar to the exponential

DOI10.1016/0378-3758(94)00026-RzbMath0812.62010MaRDI QIDQ1345572

V. Pereyra

Publication date: 8 March 1995

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

exponential distributionsuniform distributiongeometric distributionreviewPareto distributionsurvival functionscharacterization theoremsbivariate exponential distributioncumulative distribution functionsnon- stationary Poisson processalmost-lack-of-memory propertyALM propertyblocking time on unreliable servermultiplicative almost- lack-of-memory property

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

Cites Work

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• Renewal and nonhomogeneous Poisson processes generated by distributions with periodic failure rate
• A note on the 'lack of memory' property of the exponential distribution
• Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models
• Priority queues
• A characteriszation of the geometric distribution related to random sums
• On distributions having the almost-lack-of-memory property
• A characterization of probability distributions similar to the exponential
• The Service Time Properties of an Unreliable Server Characterize the Exponential Distribution
• A Multivariate Exponential Distribution

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