Abstract
A large family of copulas with gamma components is examined, and interesting submodels are defined and analyzed. Parameter estimation is demonstrated for some of these submodels. A brief discussion of higher-dimensional versions is included.
References
[1] Ali, M. M., N. Mikhail, and M. S. Haq (1978). A class of bivariate distributions including the bivariate logistic. J. Multivariate Anal. 8(3), 405–412.10.1016/0047-259X(78)90063-5Search in Google Scholar
[2] Arnold, B. C. and I. Ghosh (2014). Bivariate Kumaraswamy models involving use of Arnold-Ng copulas. J. Appl. Stat. Sci. 22(3/4), 227–240.Search in Google Scholar
[3] Arnold, B. C. and H. K. T. Ng (2011). Flexible bivariate beta distributions. J. Multivariate Anal. 102(8), 1194–1202.10.1016/j.jmva.2011.04.001Search in Google Scholar
[4] Arvanitis, M. (2018). Likelihood-free Estimation for Some Flexible Families of Distributions. Ph.D. thesis, UC Riverside.Search in Google Scholar
[5] Magnussen, S. (2004). An algorithm for generating positively correlated beta-distributed random variables with known marginal distributions and a specified correlation. Comput. Statist. Data Anal. 46(2), 397–406.10.1016/S0167-9473(03)00169-5Search in Google Scholar
[6] Nelsen, R. B. (2006). An Introduction to Copulas. Second edition. Springer, New York.Search in Google Scholar
[7] Olkin, I. and R. Liu (2003). A bivariate beta distribution. Statist. Probab. Lett. 62(4), 407–412.10.1016/S0167-7152(03)00048-8Search in Google Scholar
© 2021 Barry C. Arnold et al., published by De Gruyter
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