Journal of Sciences, Islamic Republic of Iran, ( ISI ), Year (2025-9)

Title : ( A new bivariate shock model covering all degree of dependencies )

Authors: Hossein Ali Mohtashami Borzadaran , Hadi Jabbari Nooghabi , Mohammad Amini ,

Citation: BibTeX | EndNote

Abstract

This paper presents a bivariate distribution that improves the Marshall-Olkin exponential shock model. The new construction method enhances the model’s capacity to include a common joint shock across components, making it especially suitable for reliability and credit risk assessments. The model features a single component and supports negative dependence structures. We investigate the key dependence properties and conduct a stress-strength analysis. After evaluating the performance of the parameter estimator, chemical engineering data is analyzed.

Keywords

, Dependence; Marshall, Olkin model; Shock model.
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@article{paperid:1104791,
author = {Mohtashami Borzadaran, Hossein Ali and Jabbari Nooghabi, Hadi and Amini, Mohammad},
title = {A new bivariate shock model covering all degree of dependencies},
journal = {Journal of Sciences, Islamic Republic of Iran},
year = {2025},
month = {September},
issn = {1016-1104},
keywords = {Dependence; Marshall-Olkin model; Shock model.},
}

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%0 Journal Article
%T A new bivariate shock model covering all degree of dependencies
%A Mohtashami Borzadaran, Hossein Ali
%A Jabbari Nooghabi, Hadi
%A Amini, Mohammad
%J Journal of Sciences, Islamic Republic of Iran
%@ 1016-1104
%D 2025

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