On dependence of the weighted Marshall-Olkin bivariate exponential model in the presence of the copula function
نویسندگان
1 Department of Statistics, Payame Noor University, Tehran, Iran
2 Department of Statistics, Payame Noor University, Tehran, Iran
doi
10.22034/jsmta.2024.21105.1125چکیده
In this paper, we develop a version of the weighted Marshall-Olkin bivariate exponential model by incorporating a new parameter. This parameter describes the dependence structure between margins via a copula function. We choose the inference for margins method to estimate the model parameters along with the copula parameter, as this method offers more advantages than the maximum likelihood estimation method. Additionally, we conduct a comprehensive simulation study to investigate the behavior of the copula parameter estimator and the remaining parameters. Finally, an analysis of a real dataset on automobile insurance reveals that the Clayton copula characterizes the dependence structure within the Archimedean copula family