A New Bivariate Shock Model Covering All Degrees of Dependencies
نویسندگان
1 Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran
2 Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran
3 Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran
doi
10.22059/jsciences.2025.386313.1007899چکیده
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.
