In this paper, we consider the mean residual lifetime of two-component parallel systems in the case of possibly dependent components. We provide some results and examine the behavior of the mean residual life function at the system level for the bivariate Farlie-GumbelMorgenstern (FGM) distribution. Applications of these results to evaluate the relationship between the mean residual life and th...

We review B and B mean lifetime measurements, including direct measurements and determination of the lifetime ratio via measurements of the ratio of branching ratios. We present world averages.

In mobile ad hoc networks, a communication path often spans multiple hops. Knowledge of the residual path lifetime may be quite useful in path selection algorithms, where the source node can select one of multiple paths to the destination node. In this paper, we study the effect of mobility on the residual path lifetime and demonstrate that the intuitive conjecture that “the older the path, the...

 Abstract: A new method to generate various family of distributions is introduced. This method introduces a new two-parameter extension of the exponential distribution to illustrate its application. Some statistical and reliability properties of the new distribution, including explicit expressions for the moments, quantiles, mode, moment generating function, mean residual lifetime, stochas...

In this paper we study reliability properties of consecutive-k-out-of-n systems with exchangeable components. For 2k ≥ n, we show that the reliability functions of these systems can be written as negative mixtures (i.e. mixtures with some negative weights) of two series (or parallel) systems. Some monotonicity and asymptotic properties for the mean residual lifetime function are obtained and so...

This paper introduces measures of information for Bayesian analysis when the support of data distribution is truncated progressively. The focus is on the lifetime distributions where the support is truncated at the current age t>=0. Notions of uncertainty and information are presented and operationalized by Shannon entropy, Kullback-Leibler information, and mutual information. Dynamic updatings...