Author:
Pellerey Franco,Shaked Moshe,Zinn Joel
Abstract
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.
Publisher
Cambridge University Press (CUP)
Subject
Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability
Cited by
56 articles.
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