The conditional mean residual life (MRL) function is the expected remaining life given a set of predictors. In this work we consider two nonparametric estimators of the conditional MRL function when the lifetime variable is subject to right censoring. We discuss some theoretical difficulties with current semiparametric models for MRL function estimation methods. We derive the asymptotic consist...

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 mean residual life function is a key functional for a survival distribution. It has a practically useful interpretation as the expected remaining lifetime given survival up to a particular time point, and it also characterizes the survival distribution. However, it has received limited attention in terms of inference methods under a probabilistic modeling framework. We seek to provide gener...

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This paper uses the concept of characterized model for bivariate extensions of univariate life distributions based on mean residual life properties. Different bivariate distributions can be generated from different choices of marginal distributions. The retention of univariate IMRL, DMRL, NBUE, NWUE, HNBUE and HNWUE class properties in the bivariate setup has been ensured along with results of ...

Mean residual life and failure rate functions are ubiquitously employed in reliability analysis. The term of useful period of lifetime distributions of bathtub-shaped failure rate functions is referred to the flat rigion of this function and has attracted authors and researchers in reliability, actuary, and survival analysis. In recent years, considering the change points of mean residual life ...

We utilize the important characterization that E(X − t |X > t) is a constant for t ∈ [0,∞) if and only if X is distributed as an exponential random variable, in order to construct a new test procedure for exponentiality. We discuss asymptotic distribution theory and other properties of the proposed procedure. Simulation studies indicate that the proposed statistic has very good power in a large...

A simple approach to the estimation of the median residual lifetime is proposed for a single group by inverting a function of the Kaplan-Meier estimators. A test statistic is proposed to compare two median residual lifetimes at any fixed time point. The test statistic does not involve estimation of the underlying probability density function of failure times under censoring. Extensive simulatio...