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Articles

Copula regression models for discrete and mixed bivariate responses

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Pages 515-530 | Received 17 Aug 2016, Accepted 28 Dec 2016, Published online: 06 Feb 2017

References

  • Aas, K., C. Czado, A. Frigessi, and H. Bakken. 2006. Pair-copula constructions of multiple dependence. Insurance: Mathematics and Economic 44:182–98.
  • Avramidis, A., and N. L’Ecuyer. 2009. Efficient correlation matching for fitting discrete multivariate distributions with arbitrary marginals and normal-copula dependence. INFORMS Journal on Computing 21:88–106.
  • Chen, Y. 2016a. A copula-based supervised learning classification for continuous and discrete data. Journal of Data Science 14:769–90.
  • Chen, Y. 2016b. EWMA control charts for multivariate autocorrelated processes. Statistics and Its Interface Accepted.
  • Daniels, M., and S. Normand. 2006. Longitudinal profiling of health care units based on continuous and discrete patient outcomes. Biostatistics 7:1–15.
  • de Leon, A., and B. Wu. 2011. Copula-based regression models for a bivariate mixed discrete and continuous outcome. Statistics in Medicine 30:175–85.
  • Demirtas, H., and D. Hedeker. 2011. A practical way for computing approximate lower and upper correlation bounds. The American Statistician 65:104–9.
  • Fitzmaurice, G., and N. Laird. 1995. Regression models for a bivariate discrete and continuous outcome with clustering. Journal of the American Statistical Association 90:845–52.
  • Fitzmaurice, G., and N. Laird. 1997. Regression models for mixed discrete and continuous outcome with potentially missing values. Biometrics 53:110–22.
  • Genest, C., and J. Nešlehová. 2007. A primer on copulas for count data. The Astin Bulletin 7:475–515.
  • Genz, A., F. Bretz, T. Miwa, X. Mi, F. Leisch, F. Scheipl, B. Bornkamp, and T. Hothorn. 2012. R Package “mvtnorm.” R package version 0.9- 9992. http://CRAN.R-project.org (accessed April 16, 2014).
  • Henningsen, A. 2015. R package “mvProbit.” R package version 0.1–8. http://CRAN.R-project.org.
  • Kendall, M., and A. Stuart. 1977. The advanced theory of statistics. Distribution theory, 4th ed. New York, NY: Macmillan.
  • Kolev, N., and D. Paive. 2009. Copula-based regression models: A survey. Journal of Statistical Planning and Inference 139:3847–56.
  • Liu, L., and Z. Yu. 2008. A likelihood reformulation method in non-normal random effects models. Statistics in Medicine 27:3105–24.
  • Lumley, T. 2015. R package “survey.” R package version 3.30–3. http://CRAN.R-project.org (accessed February 20, 2015).
  • MacCallum, R., S. Zhang, K. Preacher, and D. Rucker. 2002. On the practice of dichotomization of quantitative variables. Psychological Methods 7:19–40.
  • Munkin, M., and P. Trivedi. 1999. Simulated maximum likelihood estimation of multivariate mixed-Poisson regression models, with applications. Econometric Journal 1:29–48.
  • Olkin, I., and R. Tate. 1961. Multivariate correlation models with mixed discrete and continuous variables. Annals of Mathematical Statistics 32:448–65.
  • Ripley, B., B. Venables, D. Bates, K. Hornik, A. Gebhardt, and D. Firth. 2015. R package “MASS.” R package version 7.3–45. http://CRAN.R-project.org.
  • Sklar, A. 1959. Fonctions de répartition à n dimensions et leurs marges. Publ. Inst. Stat. Univ. Paris 8:229–31.
  • Smith, M., and M. Khaled. 2012. Estimation of copula models with discrete margins via Bayesian data augmentation. Journal of the American Statistical Association 107:290–303.
  • Timbie, J., and S. Normand. 2008. A comparison of metods for combining quality and efficiency performance measures: profiling the value of hospitial care following acute myocardial infarction. Statistics in Medicine 27:1351–70.
  • Wu, B., and A. de Leon. 2013. Gaussian copula mixed models for clustered mixed outcomes, with application in developmental toxicology. Journal of Agricultural, Biological, and Environmental Statistics 19:39–56.
  • Zimmer, D., and P. Trivedi. 2006. Using trivariate copulas to model sample selection and treatment effects: Application to family health care demand. Journal of Business and Economic Statistics 24:63–76.

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