| publication name | A New Two-parameter Compound G Family: Copulas, Properties and Applications |
|---|---|
| Authors | AM Khedr, ZM Nofal, YM El-Gebaly |
| year | 2021 |
| keywords | Poisson Family, Order Statistics, Farlie-Gumbel-Morgenstern, Topp Leone Family, Maximum Likelihood Estimation, Clayton copula, Generating Function, Moments, Ali-Mikhail-Haq copula |
| journal | International Journal of Probability and Statistics |
| volume | 10 |
| issue | 2 |
| pages | 46-62 |
| publisher | Not Available |
| Local/International | International |
| Paper Link | http://article.sapub.org/10.5923.j.ijps.20211002.02.html |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In the work, we propose and study a new two-parameter compound G family of continuous distributions. Relevant statistical properties are mathematically derived. Many new G families of bivariate distributions are presented using Renyi's copula, Clayton copula, Ali-Mikhail-Haq copula, Farlie-Gumbel-Morgenstern copula, and modified Farlie-Gumbel-Morgenstern copula. Based on a special case we presented a new Lomax extension and studied its relevant statistical properties. The maximum likelihood method is used and employed for estimating the model parameters. Two applications to real-life data sets are presented for illustrating the superiority of the new family.