Belzunce, FélixLillo Rodríguez, Rosa ElviraRuiz, José M.Shaked, MosheUniversidad Carlos III de Madrid. Departamento de Estadística2010-12-272010-12-272000-02https://hdl.handle.net/10016/9866The purpose of this paper is to describe various conditions on the parameters of pairs of nonhomogeneous Poisson or birth processes under which the corresponding epoch or inter-epoch times are stochastically ordered in various senses. We derive results involving the usual stochastic order, the multivariate hazard rate order, the multivariate likelihood ratio order, and the multivariate mean residual life order. A sample of applications involving generalized Yule processes, load-sharing models, and minimal repairs in reliability theory, illustrate the usefulness of the new results.application/octet-streamapplication/octet-streamapplication/pdfengAtribución-NoComercial-SinDerivadas 3.0 EspañaNonhomogeneous Poisson processNonhomogeneous birth processNonstationary birth processNonstationary birth processHazar rate orderLikelihood ratio orderMean residual life orderYule processLoad-sharingMinimal repairDispersive orderworking paperEstadísticaopen access