On the characterization of survival distributions in reliability by properties of their renewal densities

DOI10.1080/03610927908827792zbMath0496.62013OpenAlexW2117747770MaRDI QIDQ3959941

Ramesh C. Gupta

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/03610927908827792

zbMATH Keywords

exponential distributionmean residual lifegeometric distributionIFRrenewal distributionDFRmean lifemodified power series distributionscharacterization of survival distributions

Mathematics Subject Classification ID

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

Related Items (10)

Characterizations from Relationships Between Failure Rate Functions and Conditional Moments ⋮ Characterization of discrete distributions using expected values ⋮ Characterizations based on conditional expectations of the doubled truncated distribution ⋮ Characterization of discrete models by distributions based on their partial sums ⋮ Certain classes of discrete distributions in modeling risk control operations and establishing a transformation for probability generating functions ⋮ Modelling lifetimes with bivariate Schur-constant equilibrium distributions from renewal theory ⋮ A transformed geometric distribution in stochastic modelling ⋮ On the mean residual life function of a mixture in reliability studies ⋮ Cumulative residual entropy of equilibrium distribution of ordern ⋮ On some properties of equilibrium distributions of order \(n\)

Cites Work

• The Poisson process as renewal process
• Two mean values which characterize the Poisson process
• Properties of Probability Distributions with Monotone Hazard Rate

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