Exponential distributions on semigroups

DOI10.1007/BF02214368zbMath0807.60009OpenAlexW1976530361MaRDI QIDQ1337944

Kyle T. Siegrist

Publication date: 22 February 1995

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

Full work available at URL: https://doi.org/10.1007/bf02214368

zbMATH Keywords

Weibull distributionextreme value distributionfailure rate functionincreasing failure rate averagecharacterizations of the standard exponential distributionleft-invariant measure

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Constant rate distributions on partially ordered sets ⋮ Decomposition of exponential distributions on positive semigroups ⋮ Relative Aging of Distributions ⋮ RANDOM FINITE SUBSETS WITH EXPONENTIAL DISTRIBUTIONS

Cites Work

• Common origin of cubic binomial identities: A generalization of Surányi's proof on Le Jen Shoo's formula
• Semigroups associated with generalized Brownian functionals
• Measures on topological semigroups: Convolution products and random walks
• Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models
• Stochastic partial ordering
• On a characterization of the family of distributions with constant multivariate failure rates
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