Joint Modeling of Death Times and Number of Failures for Repairable Systems using a Shared Frailty Model

공유환경효과를 고려한 수리가능한 시스템의 수명과 고장회수의 결합모형 개발

  • 박희창 (창원대학교 자연과학대학 통계학과) ;
  • 이석훈 (충남대학교 자연과학대학 통계학과)
  • Published : 1998.12.01

Abstract

We consider the problem of modeling count data where the observation period is determined by the life time of the system under study. We assume random effects or a frailty model to allow for a possible association between the death times and the counts. We assume that, given a random effect or a frailty, the death times follow a Weibull distribution with a hazard rate. For the counts, given a frailty, a Poisson process is assumed with the intensity depending on time. A gamma distribution is assumed for the frailty model. Maximum likelihood estimators of the model parameters are obtained. A model for the time to death and the number of failures system received is constructed and consequences of the model are examined.

Keywords