Discrete hazard rate functions
Computers and Operations Research - Special issue: reliability and quality control
Multivariate aging properties of epoch times of nonhomogeneous processes
Journal of Multivariate Analysis
NONHOMOGENEOUS BIRTH PROCESSES AND l∞-SPHERICAL DENSITIES, WITH APPLICATIONS IN RELIABILITY THEORY
Probability in the Engineering and Informational Sciences
STOCHASTIC COMPARISONS OF NONHOMOGENEOUS PROCESSES
Probability in the Engineering and Informational Sciences
Stochastic Comparisons of Generalized Order Statistics
Probability in the Engineering and Informational Sciences
Stochastic Properties Of p-Spacings Of Generalized Order Statistics
Probability in the Engineering and Informational Sciences
Stochastic Orderings Of Discrete-Time Processes And Discrete Record Values
Probability in the Engineering and Informational Sciences
Fisher information based progressive censoring plans
Computational Statistics & Data Analysis
Multivariate dependence of spacings of generalized order statistics
Journal of Multivariate Analysis
Aging properties of sequential order statistics
Probability in the Engineering and Informational Sciences
Preservation of association in multivariate shock and claim models
Operations Research Letters
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In this article, we identify conditions under which the epoch times and the interepoch intervals of a nonhomogeneous Poisson process have logconcave densities. The results are extended to relevation counting processes. We also study discrete-time counting processes and find conditions under which the epoch times and the interepoch intervals of these discrete-time processes have logconcave discrete probability densities. The results are interpreted in terms of minimal repair and record values. Several examples illustrate the theory.