Reliability Aspects of Proportional Mean Residual Life Model Using Quantile Functions

Abstract

In the present work we propose a study of the proportional mean residual life model using quantile functions instead of distribution functions employed in the traditional approach. Through various quantile-based reliability concepts ageing properties of the model are discussed. We present characterizations of the proportional mean residual life model by properties of measures of uncertainty in the residual lives of the variables. Some stochastic order properties relating to the model are also derived.

Keywords

• proportional mean residual life model
• quantile function
• divergence measures
• characterization
• stochastic orders