A characterization of probability distributions similar to the exponential

DOI10.2307/3315752zbMath0785.62013OpenAlexW2054183641MaRDI QIDQ4275246

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Publication date: 26 April 1994

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315752

zbMATH Keywords

representation theoremcumulative distributionlack-of-memory propertyalmost-lack-of-memory propertyALM propertyblocking timeperiodic failure rateservice time of an unreliable server

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Queueing theory (aspects of probability theory) (60K25) Characterization and structure theory of statistical distributions (62E10)

Related Items (6)

Definitions, characterizations and structural properties of probability distributions similar to the exponential ⋮ Contorted uniform and Pareto distributions ⋮ Estimation of non-occurrence probability in periodic model ⋮ Renewal and nonhomogeneous Poisson processes generated by distributions with periodic failure rate ⋮ Reliability properties of proportional hazards relevation transform ⋮ Quantile Based Relevation Transform and its Properties

Cites Work

• 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
• On distributions having the almost-lack-of-memory property
• The Service Time Properties of an Unreliable Server Characterize the Exponential Distribution

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