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ON DYNAMIC PROPORTIONAL MEAN RESIDUAL LIFE MODEL

Published online by Cambridge University Press:  14 August 2013

Asok K. Nanda
Affiliation:
Department of Mathematics and Statistics, IISER Kolkata, Mohanpur Campus, Mohanpur 741 252, India E-mails: asoknanda@yahoo.com; asok@iiserkol.ac.in; suchismitadas1in@gmail.com
Suchismita Das
Affiliation:
Department of Mathematics and Statistics, IISER Kolkata, Mohanpur Campus, Mohanpur 741 252, India E-mails: asoknanda@yahoo.com; asok@iiserkol.ac.in; suchismitadas1in@gmail.com
N. Balakrishnan
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1, Department of Statistics, King Abdulaziz University, Jeddah, Saudi Arabia E-mail: bala@univmail.cis.mcmaster.ca

Abstract

Recently, proportional mean residual life model has received a lot of attention after the importance of the model was discussed by Zahedi [17]. In this paper, we define dynamic proportional mean residual life model and study its properties for different aging classes. The closure of this model under different stochastic orders is also discussed. Many examples are presented to illustrate different properties of the model.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2013 

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