Inference under Progressive Interval Censoring For Discrete Competing Risk Failure Model

Abstract

In this paper geometric life time model is considered under competing risks. The causes of failures are assumed independent. Type-I progressive interval censoring scheme is used for inference. Point estimation and confidence intervals based on maximum likelihood and bootstrap methods are also proposed. Non parametric method for estimation and confidence interval for survival function is also considered. A real life example is provided to illustrate the theoretical results.

Keywords:  Geometric distribution, competing risks model, maximum likelihood estimator, bootstrap method, survival function, non parametric estimation.