Planning Progressive Type-I Interval Censoring Life Tests With Competing Risks

In this article, we investigate some reliability and quality problems when the competing risks data are progressive type-I interval censored with binomial removals. The failure times of the individual causes are assumed to be statistically independent and exponentially distributed with different parameters. We obtain the estimates of the unknown parameters through a maximum likelihood method, and also derive the Fisher´s information matrix. The optimal lengths of the inspection intervals are determined under two different criteria. The reliability sampling plans are established under given producer´s and customer´s risks. A Monte Carlo simulation is conducted to evaluate the performance of the estimators, and also some numerical results are presented.