Stochastic Models in Probability and Statistics, Year (2025-4)

Title : ( Evaluation of evidence for dynamic systems based on Bayes factors with an application )

Authors: Majid Hashempour , Mahdi Doostparast ,

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Abstract

This paper deals with the computation of Bayes factors (BFs) based on sequential order statistics arising from homogeneous exponential populations. Explicit expressions for the BFs are derived from the chi-square and the Poisson distribution functions. Some approximations for the derived BFs are also proposed. A simulated data set is analyzed using the obtained results. Open problems are also mentioned. The findings of this paper may be used for assessing evidence in the available data in various fields such as reliability analyses of engineering systems and life testing experiments.

Keywords

Bayes Factor; Exponential model; Hypotheses testing; Likelihood ratio; Sequential order statistics
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@article{paperid:1102841,
author = {مجید هاشم پور and Doostparast, Mahdi},
title = {Evaluation of evidence for dynamic systems based on Bayes factors with an application},
journal = {Stochastic Models in Probability and Statistics},
year = {2025},
month = {April},
issn = {3060-7876},
keywords = {Bayes Factor; Exponential model; Hypotheses testing; Likelihood ratio; Sequential order statistics},
}

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%0 Journal Article
%T Evaluation of evidence for dynamic systems based on Bayes factors with an application
%A مجید هاشم پور
%A Doostparast, Mahdi
%J Stochastic Models in Probability and Statistics
%@ 3060-7876
%D 2025

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