On the Effect of Random Alternating Perturbations on Hazard Rates

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dc.creatorDi Crescenzo, Antonio
dc.creatorMartinucci, Barbara
dc.date2007-01-11
dc.date.accessioned2026-07-07T08:08:36Z
dc.date.available2026-07-07T08:08:36Z
dc.descriptionWe consider a model for systems perturbed by dichotomous noise, in which the hazard rate function of a random lifetime is subject to additive time-alternating perturbations described by the telegraph process. This leads us to define a real-valued continuous-time stochastic process of alternating type expressed in terms of the integrated telegraph process for which we obtain the probability distribution, mean and variance. An application to survival analysis and reliability data sets based on confidence bands for estimated hazard rate functions is also provided.
dc.description14 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0701328
dc.identifierhttp://arxiv.org/abs/math/0701328
dc.identifierSci. Math. Jpn. 64 (2006), no. 2, 381-394
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131320
dc.subjectStatistics Theory
dc.subject62N05
dc.titleOn the Effect of Random Alternating Perturbations on Hazard Rates
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