Given that a unit is of age t, the remaining life after time t is random. The expected value of this random residual life is called the mean residual life at time t. Since the MRL is defined for each time t, we also speak of the MRL function. THe MRL function is like the density...
Mean residual life (MRL) is the remaining life expectancy of a subject who has survived to a certain time point and can be used as an alternative to hazard function for characterizing the distribution of a time-to-event variable. Inference and application of MRL models have primarily focused o...
The mean residual life (MRL) of a nonnegative random variable X plays an important role in various disciplines such as reliability, survival analysis, and extreme value theory. This paper deals with the problem of estimating the MRL in ranked set sampling (RSS) design. An RSS-based estimator...
Mean Residual Life (MRL)proportional hazard modelconditional reliabilityWeibullLHD machine(2017). Context-driven mean residual life estimation of mining machinery. International Journal of Mining, Reclamation and Environment. Ahead of Print.doi:10.1080/17480930.2017.1308067Ghodrati, Behzad...
mean residual life functionorder statisticssignaturestochastic orderingIn this paper, we investigate the effect of a cold standby component on the mean residual life (MRL) of a system. When the system fails a cold standby component is immediately put in operation. We particularly focus on the ...
The MRL summarizes the entire residual life distribution of time t and the hazard function only relates to the risk of immediate failure at time t. When the main concern is the risk of immediate failure, the Proportional Hazards (PH) model has proved to be an extremely useful model. Yet, ...
In the last two decades, reliabilists, statisticians, and others have shown intensified interest in the mean residual life (MRL) and derived many useful results concerning it. Given that a unit is of age t, the remaining life after time t is random. The expected value of this random resid...
The mean residual life function (mrlf) of a subject is defined as the ex-pected remaining lifetime of the subject given that the subject has survived up to a given time. The commonly used regression models as proportional mean residual life (PMRL) and linear mean residual life (LMRL) ha...
In addition to the distribution function, the mean residual life (MRL) function is the other important function which can be used to characterize a lifetime in survival analysis and reliability. For inference on the MRL function, some procedures have been proposed in the literature. However, the...
The mean residual life (MRL) function for a lifetime random variable T0 is one of the basic parameters of interest in survival analysis. In this paper, we propose a new estimator of the MRL function with length-biased right-censored data and evaluate its performance through a small Monte ...