On the Effect of Random Alternating Perturbations on Hazard Rates

Details On the Effect of Random Alternating Perturbations on Hazard Rates On the Effect of Random Alternating Perturbations on Hazard Rates

2007-01-11

arxiv.org/abs/math/0701328v1

Sci. Math. Jpn. 64 (2006), no. 2, 381-394

Mathematics

Statistics Theory

14 pages, 6 figures

Scientific paper

We 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.

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