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Articles

Some alternative bivariate Kumaraswamy-type distributions via copula with application in risk management

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Pages 693-706 | Received 26 Apr 2016, Accepted 19 Jul 2016, Published online: 30 Aug 2016

References

  • Arnold, B. C., and I. Ghosh. 2016. Some alternative bivariate Kumaraswamy models. Communications in Statistics: Theory and Methods forthcoming.
  • Azzalini, A., and A. Capitanio. 2003. Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t distribution. IEICE Transactions on Fundamentals. Journal of the Royal Statistical Society, Series B 65:367–389.
  • Balakrishnan, N., and C. D. Lai. 2009. Continuous bivariate distributions, 2nd ed. New York, NY: Springer.
  • Chen, X., and Y. Fan. 2005. Pseudo-likelihood ratio tests for semiparametric multivariate copula model selection. Canadian Journal of Statistics 33:389–414.
  • Cook, R. D., and M. E. Johnson. 1981. A family of distributions for modeling non-elliptically symmetric multivariate data. Journal of the Royal Statistical Society, Series B 43:210–18.
  • Cook, R. D., and M. E. Johnson. 1986. Generalized Burr–Pareto–logistic distributions with applications to a uranium exploration data set. Technometrics 28:123–31.
  • Eugene, N., C. Lee, and F. Famoye. 2002. Beta-normal distribution and its applications. Communications in Statistics: Theory and Methods 31:497–512.
  • Frees, E. W., and E. A. Valdez. 1998. Understanding relationships using copulas. North American Actuarial Journal 2:1–25.
  • Genest, C., J. R. Quessy, and B. Remillard. 2006. Goodness-of-fit procedures for copula models based on the probability integral transformation. Scandinavian Journal of Statistics. 33:337–366. doi:10.1111/j.1467-9469.2006.00470.
  • Ghosh, I., and S. Nadarajah. 2015. A new class of weighted bivariate Kumaraswamy distributions with an application to drought and health care data. Communications in Statistics–Theory & Methods submitted.
  • Hansen, B. E. 1994. Autoregressive conditional density estimation. International Economic Review 35:705–30.
  • Jones, M. C. 2004. Families of distributions arising from distributions of order statistics. Test 13: 1–43.
  • Jones, M. C. 2009. A beta-type distribution with some tractability advantages. Statistical Methodology 6:70–81.
  • Klugman, S. A., and R. Parsa. 1999. Fitting bivariate loss distributions with copulas. Insurance Mathematics and Economics 24:139–48.
  • Kumaraswamy, P. 1980. Generalized probability density-function for double-bounded random-processes. Journal of Hydrology 462:79–88.
  • Kotz, S., N. Balakrishnan, and N. L. Johnson. 2000. Continuous multivariate distributions—Vol. 1, 2nd ed. New York, NY: John Wiley & Sons.
  • Marshall, A. W., and I. Olkin. 1988. Families of multivariate distributions. Journal of the American Statistical Association 83:834–41.
  • Nadarajah, S., G. M. Cordeiro, and E. M. M. Ortega. 2011. General results for the Kumaraswamy-G distribution. Journal of Statistical Computation and Simulation 82:951–979. doi:10.1080/00949655.2011.562504.
  • Nelsen, R. B. 1999. An introduction to copulas. New York, NY: Springer-Verlag.
  • Pougaza, D. B., and M. A. Djafari. 2011. Maximum entropies copulas. Proceedings of the 30th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, 329–36.
  • Trivedi, P. K., and D. M. Zimmer. 2007. Copula modeling: An introduction for practitioners. Foundations and Trends in Econometrics 1:1–111.
  • Wagner, B. S., and A. J. Lemonte. 2013. Bivariate Kumaraswamy distribution: Properties and a new method to generate bivariate classes. Statistics 47:1–22.

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