The concept of mean residual life plays an important role in reliability and life testing. In this paper, we introduce and study a new stochastic order called proportional mean residual life order. Several characterizations and preservation...

of the residual life random variable

Xt . Since one of the most important types of system structures is the parallel structure,

we give an upper bound for the variance of a function of this system consisting of n

identical and independent...

The random variable Xt = X − t|X ≥ t, which is called residual life

random variable, has gathered the attention of most researchers in reliability. The

mean and the variance of this variable in continuous distribution have been studied...

In the study of reliability of the technical systems and

subsystems, parallel systems play an important role. In the present

paper, we consider a parallel system with independent and nonidentically

distributed ...

In the present paper, we generalized the characterizations of discrete lifetime distributions based on conditional doubly truncated mean and covariance which are related to the general failure rates, doubly truncated mean ...

important indicators for measuring dispersion‎. ‎It is natural to try to relate Gini indices to mean life time of system‎. ‎We will obtain an upper bound for mean residual life of the parallel system from some inequality indices‎....

Abstract: In this paper, a model for two dependent series-parallel systems with random number of sub-systems is introduced and the dependence structure of the proposed model is studied.
Moreover, the dependency measures ...