Cumulative residual entropy has been proposed by Rao et al. (2004). In this paper, we first show a representation of the cumulative residual entropy of the first r order statistics as a single integral. Then we provide some related results including recurrence relations, identity and...

Given a random sample from a dependent censored variable (X,δ)=(min(T,C),1(TC)), general formulas are given for possible marginal survival functions of the failure time T and the censoring time C under the assumption that their underlying copula is Archimedean. These formulas are used to...

Purpose – This paper aims to deal with the estimation of the empirical Bayesian exact confidence limits of reliability indexes of a cold standby series system with ( n + k −1) units under the general progressive Type II censoring scheme. Design/methodology/approach – Assuming that the...