Characterization for additive Weibull distribution based on progressive first failure censoring

Abstract

In this article, we establish recurrence relations (RR) for single and product moments based on progressive first failure censoring (PFFC). Characterizations for additive Weibull distribution (AWD) using the relation between the probability density function and distribution function and using the RR of single and product moments based on PFFC are also obtained. Further, the results are specialized to the progressively type-II right censored order statistics (PTIIRCOS).