A characterization of the factorization of hazard function by the Fisher information under Type II censoring with application to the Weibull family

Expressing the asymptotic Fisher information in Type II censored data in terms of the hazard function, we show that the factorization of the hazard function can be characterized by the linear property of the Fisher information under Type II censoring. Applying the result to the class of scale parameter families of lifetime distributions, we characterize the Weibull family by the Fisher information in Type II censored data and by the factorization of the hazard function.Asymptotic Fisher information Hazard function Order statistics Type II censored data Weibull distribution