The 10-th Seminar on Probability and Stochastic Processes , 2015-08-19

Title : ( Bayes factors with sequential r-out-of-n system lifetimes )

Authors: majid hashempour , Mahdi Doostparast ,

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Abstract

Sequential order statistics (SOS) may be as a flexible tool for analysing stochastic behaviour of engineering complex system lifetimes in which failure of a component may result in more loading on surviving components and hence changing the residual component lifetimes. This paper studies SOS-based Bayes factors (BFs) arising from multiply exponential populations. For various hypotheses, both simple and composite, explicit expressions for the associated BFs are derived in terms of the chi-square distribution function. Findings of this paper can be used for comparing purposes of various systems on the basis of the observed component lifetimes.

Keywords

, Exponential model, Bayes Factor, Hypotheses testing, r-out-of-n system, Sequential order statistics
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@inproceedings{paperid:1049094,
author = {Hashempour, Majid and Doostparast, Mahdi},
title = {Bayes factors with sequential r-out-of-n system lifetimes},
booktitle = {The 10-th Seminar on Probability and Stochastic Processes},
year = {2015},
location = {یزد, IRAN},
keywords = {Exponential model; Bayes Factor; Hypotheses testing; r-out-of-n system; Sequential order statistics},
}

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%0 Conference Proceedings
%T Bayes factors with sequential r-out-of-n system lifetimes
%A Hashempour, Majid
%A Doostparast, Mahdi
%J The 10-th Seminar on Probability and Stochastic Processes
%D 2015

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