Fisher information in hybrid censored data

A hybrid censoring is a mixture of Type I and II censoring. Type I and Type II hybrid censoring models are considered in this work. When n items are placed on a life-test, the experiment terminates under the Type I (Type II) hybrid censoring when either the r-th failure (1≤r≤n) or the pre-determined censoring time T comes first (later). We study the decomposition of Fisher information in both hybrid censored data, and show that the Fisher information satisfies an additive rule in the case of hybrid censored data. The results are then applied to exponential and Weibull distributions for illustrative purposes.