References
- Andrews, D. F., and C. L. Mallows. 1974. Scale mixtures of normal distributions. Journal of the Royal Statistical Society: Series B (Methodological) 36 (1):99–102. doi:10.1111/j.2517-6161.1974.tb00989.x.
- Arellano-Valle, R. B., M. G. Genton, and R. H. Loschi. 2009. Shape mixture of multivariate skew-normal distributions. Journal of Multivariate Analysis 100 (1):91–101. doi:10.1016/j.jmva.2008.03.009.
- Arellano-Valle, R. B., C. S. Ferreira, and M. G. Genton. 2018. Scale and shape mixtures of multivariate skew-normal distributions. Journal of Multivariate Analysis 166:98–110. doi:10.1016/j.jmva.2018.02.007.
- Arismendi, J. C. 2013. Multivariate truncated moments. Journal of Multivariate Analysis 117:41–75. doi:10.1016/j.jmva.2013.01.007.
- Azzalini, A., and A. Capitanio. 1999. Statistical applications of the multivariate skew—Normal distribution. Journal of the Royal Statistical Society: Series B (Statistical Methodology) 61 (3):579–602. doi:10.1111/1467-9868.00194.
- Azzalini, A., and A. Dalla-Valle. 1996. The multivariate skew-normal distribution. Biometrika 83 (4):715–26. doi:10.1093/biomet/83.4.715.
- Branco, M. D., and D. K. Dey. 2001. A general class of multivariate skew-elliptical distributions. Journal of Multivariate Analysis 79 (1):99–113. doi:10.1006/jmva.2000.1960.
- Cook, R. D., and S. Weisberg. 1994. An introduction to regression graphics. Hoboken: John Wiley & Sons.
- Dempster, A. P., N. M. Laird, and D. B. Rubin. 1977. Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society: Series B (Methodological) 39 (1):1–38. doi:10.1111/j.2517-6161.1977.tb01600.x.
- Ferreira, C. S., V. H. Lachos, and H. Bolfarine. 2016. Likelihood-based inference for multivariate skew scale mixtures of normal distributions. AStA Advances in Statistical Analysis 100 (4):421–41. doi:10.1007/s10182-016-0266-z.
- Kahrari, F., R. B. Arellano-Valle, M. Rezaei, and F. Yousefzadeh. 2017. Scale mixtures of skew-normal-Cauchy distributions. Statistics & Probability Letters 126:1–6. doi:10.1016/j.spl.2017.02.027.
- Kahrari, F., M. Rezaei, F. Yousefzadeh, and R. B. Arellano-Valle. 2016. On the multivariate skew-normal-Cauchy distribution. Statistics & Probability Letters 117:80–88. doi:10.1016/j.spl.2016.05.005.
- Lachos, V. H., P. Ghosh, and R. B. Arellano-Valle. 2010. Likelihood-based inference for skew-normal/independent linear mixed models. Statistica Sinica 20:303–22.
- Liu, C., and D. B. Rubin. 1994. The ECME algorithm: A simple extension of EM and ECM with faster monotone convergence. Biometrika 81 (4):633–48. doi:10.1093/biomet/81.4.633.
- Mardia, K. V. 1970. Measures of multivariates skewness and kurtosis with applications. Biometrika 57 (3):519–30. doi:10.1093/biomet/57.3.519.
- Meza, C., F. Osorio, and R. de la Cruz. 2012. Estimation in non-linear mixed effects mdels using heavy tailed distributions. Statistics and Computing 22 (1):121–39. doi:10.1007/s11222-010-9212-1.
- Sahu, S. K., D. K. Dey, and M. D. Branco. 2003. A new class of multivariate skew distributions with applications to Bayesian regression models. Canadian Journal of Statistics 31 (2):129–50. doi:10.2307/3316064.
- Seshadri, V. 1993. The inverse Gaussian distribution. Oxford: Clarendon.
- Zacks, S. 1971. The theory of statistical inference. New York: Wiley.
- Zeller, C. B., V. H. Lachos, and F. E. Vilca-Labra. 2011. Local influence analysis for regression models with scale mixtures of skew-normal distributions. Journal of Applied Statistics 38 (2):343–68. doi:10.1080/02664760903406504.