Recurrence relations between moments of progressive type-II right censored order statistics from doubly truncated Weibull distribution

Abstract

In this paper, we establish some new recurrence relations for the single and product moments of progressively Type-II right censored order statistics from the doubly truncated Weibull distribution. These relations generalize the results given by Balakrishnan et al. (Statistics 35:537–556, 2001) for the progressively Type-II right censored order statistics for standard exponential and right truncated exponential distributions. These results, also generalize the corresponding results for usual order statistics due to Khan et al. (Naval Res Logist Q 32:693, 1985, J Statist Plann Inference 8:175–183, 1983) for the doubly truncated Weibull distribution. In the last section, some deduction and particular cases are also discussed.