NONHOMOGENEOUS POISSON PROCESSES AND LOGCONCAVITY
Probability in the Engineering and Informational Sciences
Multivariate aging properties of epoch times of nonhomogeneous processes
Journal of Multivariate Analysis
DISPERSION-TYPE VARIABILITY ORDERS
Probability in the Engineering and Informational Sciences
NONHOMOGENEOUS BIRTH PROCESSES AND l∞-SPHERICAL DENSITIES, WITH APPLICATIONS IN RELIABILITY THEORY
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 Between p-Spacings Of Generalized Order Statistics From Two Samples
Probability in the Engineering and Informational Sciences
Multivariate Stochastic Comparisons Of Sequential Order Statistics
Probability in the Engineering and Informational Sciences
Ordering Conditional Distributions Of Generalized Order Statistics
Probability in the Engineering and Informational Sciences
Multivariate dependence of spacings of generalized order statistics
Journal of Multivariate Analysis
Probability in the Engineering and Informational Sciences
Preservation of association in multivariate shock and claim models
Operations Research Letters
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The purpose of this article is to describe various conditions on the parameters of pairs of nonhomogeneous Poisson or pure birth processes under which the corresponding epoch times or interepoch intervals are stochastically ordered in various senses. We derive results involving the usual stochastic order, the multivariate hazard rate order, the multivariate likelihood ratio order, as well as the dispersive and the mean residual life orders. A sample of applications involving generalized Yule processes, load-sharing models, and minimal repairs in reliability theory illustrate the usefulness of the new results.