Modelling lifetime data: a graphical approach

A New Model for Repairable Systems with Nonmonotone Intensity Function

“…a mixture two inverse Weibull distributions, and other models . Finally, the issue of multimodality of the hazard function can be found in literature . These findings motivate us to formulate a new model based on the Burr XII distribution and the BIP process in order to describe the bathtub‐shaped failure intensity.…”

“…[32][33][34] Finally, the issue of multimodality of the hazard function can be found in literature. [35][36][37][38][39] These findings motivate us to formulate a new model based on the Burr XII distribution and the BIP process in order to describe the bathtub-shaped failure intensity. In this study, we propose a new model based on the mixture of bounded Burr XII failure intensity and bounded intensity process, to describe the failure intensity of minimally repaired systems with approximate bathtub behavior.…”

Estimation for the Parameter of Poisson-Exponential Distribution under Bayesian Paradigm

“…Cancho et al (2011) proposed a new family of distribution, called Poisson-exponential (PE) distribution based having increasing failure rate. The motivation for the proposed family of distribution is related to the study of competing risk (CR) problems in presence of latent risks (see, Louzada-Neto, 1999) i.e., for those situations when only life-time values are observed but no information is available about the factors responsible for component failures. Louzada-Neto et al (2011) studied the statistical properties of PE distribution and discussed about the Bayes estimators of its parameters under squared error loss function (SELF), but paid no attention to the maximum likelihood estimators.…”