A system with n independent components which has a k-out-of-n: G structure operates if at least k components operate. Parallel systems are 1-out-of-n: G systems, that is, the system goes out of service when all of its components fail. This paper investigates the mean residual life function of systems with independent and nonidentically distributed components. Some examples related to some lifet...

Prompted by several recent papers on the inference on median and mean residual life time, we note that the testing involving the mean or median residual life function in censored survival data can be obtained by an easy application of the general empirical likelihood ratio test. This approach has several advantages: (1) There is no need to estimate the variance/covariance at all, which may beco...

A two-parameter Quasi Lindley distribution (QLD), of which the Lindley distribution (LD) is a particular case, has been introduced. Its moments, failure rate function, mean residual life function and stochastic orderings have been discussed. It is found that the expressions for failure rate function, mean residual life function, and stochastic orderings of the QLD shows its flexibility over Lin...

For randomly censored data, the authors propose a general class of semiparametricmedian residual life models. They incorporate covariates in a generalized linear form while leaving the baseline median residual life function completely unspecified. Despite the non-identifiability of the survival function for a given median residual life function, a simple and natural procedure is proposed to est...

We revisit the classic Cournot model and extend it to a twoechelon supply chain with an upstream supplier who operates under demand uncertainty and multiple downstream retailers who compete over quantity. The supplier’s belief about retail demand is modeled via a continuous probability distribution function F . If F has the decreasing generalized mean residual life (DGMRL) property, then the su...

Residual useful life plays a core role in the field of the prognostics and health management of systems. For deteriorating systems or devices it can be estimated by establishing a good-fitting stochastic process model and solving corresponding first passage problem with the given failure level. In this paper, providing that the mean and variance function of the degradation process are given or ...