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ON THE RELIABILITY PROPERTIES OF SOME WEIGHTED MODELS OF BATHTUB SHAPED HAZARD RATE DISTRIBUTIONS

Published online by Cambridge University Press:  18 December 2012

M. Shafaei Noughabi ,
G.R. Mohtashami Borzadaran  and
A.H. Rezaei Roknabadi
M. Shafaei Noughabi
Affiliation:
Ferdowsi University of Mashhad, Mashhad, Iran E-mail: mohamad.shafaee@gmail.com; grmohtashami@um.ac.ir; rezaei@um.ac.ir
G.R. Mohtashami Borzadaran
Affiliation:
Ferdowsi University of Mashhad, Mashhad, Iran E-mail: mohamad.shafaee@gmail.com; grmohtashami@um.ac.ir; rezaei@um.ac.ir
A.H. Rezaei Roknabadi
Affiliation:
Ferdowsi University of Mashhad, Mashhad, Iran E-mail: mohamad.shafaee@gmail.com; grmohtashami@um.ac.ir; rezaei@um.ac.ir
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Abstract

Let F be a bathtub-shaped (BT) hazard rate distribution function. It has been shown that the hazard rate function of the order statistics may be BT, increasing, etc. Then, we have carried out a graphical study for some useful lifetime models.

Moreover, we are interested to compare the time that maximizes the mean residual life (MRL) function of F with the one related to a general weighted model in terms of their locations. Also, the times maximizing the conditional reliability proposed by Mi [13] of F have been compared with the corresponding times of a general weighted model. As special cases, we consider order statistics and the proportional hazard rate model.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 27 , Issue 1 , January 2013 , pp. 125 - 140
Copyright
Copyright © Cambridge University Press 2013

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