References
- Arellano-Valle, R. B., and A. Azzalini. 2006. On the unification of families of skew-normal distributions. Scandinavian Journal of Statistics 33:561–74.
- Arellano-Valle, R. B., and M. G. Genton. 2005. On fundamental skew distributions. Journal of Multivariate Analysis 96:93–116.
- Arnold, B. C., and R. J. Beaver. 2002. Skewed multivariate models related to hidden truncation and/or selective reporting. Test 11:7–54.
- Azzalini, A., and A. Capitanio. 1999. Statistical applications of the multivariate skew normal distribution. Journal of the Royal Statistical Society, Series B 61 (3):579–602.
- Azzalini, A., and A. Capitanio. 2014. The Skew-normal and related families. Cambridge: Cambridge University Press.
- Azzalini, A., and A. Dalla Valle. 1996. The multivariate skew normal distribution. Biometrika 83:715–26.
- Das, K., M. Elmasri, and A. Sen. 2016. A Skew-normal copula-driven GLMM. Statistica Neerlandica 70(4):396–413.
- Genton, M. G. ed. 2004. Skew-Elliptical distributions and their applications. A journey beyond normality. Boca Raton: Chapman & Hall/CRC.
- Genton, M., L. He, and X. Liu. 2001. Moments of skew-normal random vectors and their quadratic forms. Statistics & Probability Letters 51:319–25.
- González-Farías, G., J. A. Domínguez-Molina, and A. K. Gupta. 2004. The closed skew-normal distribution. In Skew-Elliptical distributions and their applications. A journey beyond normality, Chapter 2, ed. M. G. Genton, 25–42. Boca Raton: Chapman & Hall/CRC.
- Gupta, A. K., G. González-Farías, and J. A. Domínguez-Molina. 2004. A multivariate skew normal distribution. Journal of Multivariate Analysis 89:181–90.
- Kollo, T. 2008. Multivariate skewness and kurtosis measures with an application in ICA. Journal of Multivariate Analysis 99:2328–38.
- Kollo, T., and D. von Rosen. 2010. Advanced multivariate statistics with matrices. 2nd print. Dordrecht: Springer.
- Kollo, T., A. Selart, and H. Visk. 2013. From multivariate skewed distributions to copulas. In Combinatorial matrix theory and generalized inverses of matrices, eds. R. B. Bapat, et al., 61–72. New Delhi: Springer.
- Käärik, M., A. Selart, and E. Käärik. 2015. On parametrization of multivariate skew-normal distribution. Communications in Statistics – Theory and methods 44:1869–85.
- MacRae, E. C. 1974. Matrix derivatives with an application to an adaptive linear decision problem. Annals of Statistics 2:337–46.
- Magnus, J. R., and H. Neudecker. 1999. Matrix differential calculus with applications in statistics and econometrics. 2nd ed. Chichester: Wiley.
- Parring, A.-M. 1979. Computation of asymptotic characteristics of sample functions. Acta et Commentationes Universitatis Tartuensis de Mathematica 492:86–90 (in Russian).
- Puntanen, S., G. P. Styan, and J. Isotalo. 2011. Matrix tricks for linear statistical models: Our personal top twenty. Berlin: Springer.
- Wei, Z., S. Kim, and D. Kim. 2016. Multivariate skew normal copula for non-exchangeable dependence. Procedia Computer Science 91:141–50.