Probability in the Engineering and Informational Sciences, ( ISI ), Volume (27), No (1), Year (2013-1) , Pages (125-140)

Title : ( On the reliability properties of some weighted models of bathtub shaped hazard rate distributions )

Authors: Mohammad Shafaei Noughabi , Gholam Reza Mohtashami Borzadaran , Abdolhamid Rezaei Roknabadi ,

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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.

Keywords

, RELIABILITY, WEIGHTED MODELS, BATHTUB SHAPED, HAZARD RATE
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@article{paperid:1033118,
author = {Shafaei Noughabi, Mohammad and Mohtashami Borzadaran, Gholam Reza and Rezaei Roknabadi, Abdolhamid},
title = {On the reliability properties of some weighted models of bathtub shaped hazard rate distributions},
journal = {Probability in the Engineering and Informational Sciences},
year = {2013},
volume = {27},
number = {1},
month = {January},
issn = {0269-9648},
pages = {125--140},
numpages = {15},
keywords = {RELIABILITY; WEIGHTED MODELS; BATHTUB SHAPED; HAZARD RATE},
}

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%0 Journal Article
%T On the reliability properties of some weighted models of bathtub shaped hazard rate distributions
%A Shafaei Noughabi, Mohammad
%A Mohtashami Borzadaran, Gholam Reza
%A Rezaei Roknabadi, Abdolhamid
%J Probability in the Engineering and Informational Sciences
%@ 0269-9648
%D 2013

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