Laplace transforms for classes of life distributions

DOI10.1214/aop/1176994721zbMath0455.62079OpenAlexW1986002654MaRDI QIDQ1150231

Thomas H. Savits, Henry W. Block

Publication date: 1980

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176994721

zbMATH Keywords

reliabilitylife distributionsIFRIFRANBUDMRLNBUEgamma wear processincreasing failure rate distributionPFKSCKTPK

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Laplace transform (44A10) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Related Items (15)

The NBELC and NWELC classes of life distributions ⋮ The generalized HNBUE (HNWUE) class of life distributions ⋮ Preservation properties of a homogeneous Poisson process stopped at an independent random time ⋮ Block–Savits Characterization and Star Ordering of Exponential Mixtures ⋮ Hazard Rate Properties of a General Counting Process Stopped at an Independent Random Time ⋮ Preservation of reliability classes associated with the mean residual life by a renewal process stopped at a random time ⋮ A nonparametric test for exponentiality in LIFRA class of life distributions ⋮ Equilibrium compound distributions and stop-loss moments ⋮ Shock models with NBUFR and NBAFR survivals ⋮ PRESERVATION OF RELIABILITY CLASSES UNDER MIXTURES OF RENEWAL PROCESSES ⋮ Preservation of Stochastic Orderings under Random Mapping by Point Processes ⋮ Classes of ``aging distributions ⋮ PRESERVATION PROPERTIES OF A RENEWAL PROCESS STOPPED AT A RANDOM DEPENDENT TIME ⋮ PRESERVATION OF STOCHASTIC ORDERS UNDER MIXTURES OF EXPONENTIAL DISTRIBUTIONS ⋮ Some weighted distribution results on univariate and bivariate cases

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