Regression Models for Bivariate Count Outcomes

Stata Journal

Volumn 16, Issue 2, 2016, Pages 301-315

  Xu, Xinling ^a   Hardin, James W ^a  

^a UNIVERSITY OF SOUTH CAROLINA   (United States)

Author keywords

bivcnto; copula function; correlated count data; Famoye bivariate generalized Poisson regression; Famoye bivariate negative binomial regression; Famoye bivariate Poisson regression; general bivariate count regression; Marshall Olkin bivariate negative binomial regression; negative binomial; Poisson; st0433

Indexed keywords

EID: 84997104279     PISSN: 1536867X     EISSN: 15368734     Source Type: Journal    
DOI: 10.1177/1536867X1601600203     Document Type: Article

References (15)

1. Cameron A. C., Li T., Trivedi P. K., and Zimmer D. M., 2004. Modelling the differences in counted outcomes using bivariate copula models with application to mismeasured counts. Econometrics Journal 7: 566–584.
2. Famoye F., 2010a. On the bivariate negative binomial regression model. Journal of Applied Statistics 37: 969–981.
3. Famoye F., 2010b. A new bivariate generalized Poisson distribution. Statistica Neerlandica 64: 112–124.
4. Frees E. W., and Valdez E. A., 1998. Understanding relationships using copulas. North American Actuarial Journal 2: 1–25.
5. Hardin J. W., and Hilbe J. M., 2012. Generalized Linear Models and Extensions. 3rd ed. College Station, TX: Stata Press.
6. Hardin J. W., and Hilbe J. M., 2014. Regression models for count data based on the negative binomial(p) distribution. Stata Journal 14: 280–291.
7. Harris T., Hilbe J. M., and Hardin J. W., 2014. Modeling count data with generalized distributions. Stata Journal 14: 562–579.
8. Harris T., Yang Z., and Hardin J. W., 2012. Modeling underdispersed count data with generalized Poisson regression. Stata Journal 12: 736–747.
9. Joe H., 1997. Multivariate Models and Dependence Concepts. London: Chapman & Hall.
10. Lee A., 1999. Applications: Modelling rugby league data via bivariate negative binomial regression. Australian & New Zealand Journal of Statistics 41: 141–152.
11. Marshall A. W., and Olkin I., 1985. A family of bivariate distributions generated by the bivariate Bernoulli distribution. Journal of the American Statistical Association 80: 332–338.
12. McHale I., and Scarf P., 2007. Modelling soccer matches using bivariate discrete distributions with general dependence structure. Statistica Neerlandica 61: 432–445.
13. Sklar A., 1959. Fonctions de répartition à n dimensions et leurs marges. Publications de l'Institut de Statistique de l'Université de Paris 8: 229–231.
14. Sklar A., 1973. Random variables, distribution functions, and copulas. Kybernetica 9: 449–460.
15. van Ophem H., 1999. A general method to estimate correlated discrete random variables. Econometric Theory 15: 228–237.