the parallel systems are special important types of coherent structures and have many applications in various areas.in this paper we consider a two-exchangeable-component parallel system for the generalized farlie-gumbel-morgenstern (generalized fgm) distribution. we study the reliability properties of the residual lifetime of the system under the condition that both components of the system ar...

The parallel systems are special important types of coherent structures and have many applications in various areas.In this paper we consider a two-exchangeable-component parallel system for the Generalized Farlie-Gumbel-Morgenstern (Generalized FGM) distribution. We study the reliability properties of the residual lifetime of the system under the condition that both components of the system ar...

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...

In this paper, a new MRL assessment approach for multi-state standby system is considered. The three-state backed up with binary cold unit. Given that the at specific state time t, obtaining worth considering in conducting maintenance and repair plans of system. For different degradation rates points, results are examined. An HCTMP considered degradation. Therefore, when observed to be its perf...

Although mean residual lifetime is often of interest in biomedical studies, restricted mean residual lifetime must be considered in order to accommodate censoring. Differences in the restricted mean residual lifetime can be used as an appropriate quantity for comparing different treatment groups with respect to their survival times. In observational studies where the factor of interest is not r...

In this paper we summarize some recent results on mean residual lifetime (MRL) and the mean past lifetime (MPL) of a k-out-of-n structure at the system level. In section 2, it is assumed that in a k-out-of-n system all the components of the system are working at time t. Under this condition, the MRL of the system is de…ned and several properties of that are derived. In section 3, under the assu...