Reliability Aspects of Proportional Mean Residual Life Model Using Quantile Functions

N. Unnikrishnan Nair; P.G.  Sankaran; S.M. Sunoj

doi:10.57805/revstat.v17i4.277

Reliability Aspects of Proportional Mean Residual Life Model Using Quantile Functions

Authors

N. Unnikrishnan Nair Cochin University of Science and Technology
P.G. Sankaran Cochin University of Science and Technology
S.M. Sunoj Cochin University of Science and Technology

DOI:

https://doi.org/10.57805/revstat.v17i4.277

Keywords:

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

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.

Downloads

REVSTAT2019v17n4_3

Published

2019-10-04

How to Cite

Unnikrishnan Nair , N., Sankaran , P. ., & Sunoj , S. (2019). Reliability Aspects of Proportional Mean Residual Life Model Using Quantile Functions. REVSTAT-Statistical Journal, 17(4), 475–492. https://doi.org/10.57805/revstat.v17i4.277