References
- Andrews, D. R., C. L. Mallows. 1974. Scale mixture of normal distribution. Journal of the Royal Statistical Society, Series B 36:99–102.
- Arellano-Valle, R. B., H. Gómez, F. A. Quintana. 2005. Statistical inference for a general class of asymmetric distributions. The Journal of Statistical Planning and Inference 128:427–443.
- Azzalini, A. 1985. A class of distributions which includes the normal ones. Scandinavian Journal of Statistics 12:171–178.
- Bondon, P. 2009. Estimation of autoregressive models with epsilon-skew-normal innovations. Journal of Multivariate Analysis 100:1761–1776.
- Dempster, A. P., N. M. Laird, D. B. Rubin. 1977. Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society, Series B: Methodological 39:1–22.
- Fechner, G. T. 1897. Kollectivmasslehre. ed. G. F. Lipps. Leipzig: Verlag von Wilhelm Engelmann.
- Gibbons, J. F., S. Mylroie. 1973. Estimation of impurity profiles in ion-implanted amorphous targets using joined half-Gaussian distributions. Applied Physics Letters 22:568–572.
- Gómez, H. W., F. J. Torres, H. Bolfarine. 2007. Large-Sample Inference for the Epsilon-Skew-t Distribution. Communications in Statistics—Theory and Methods 36 (1):73–81.
- Hutson, A. 2004. Utilizing the flexibility of the epsilon-skew-normal distribution for common regression problems. Journal of Applied Statistics 31 (6):673–683.
- John, S. 1982. The three-parameter two-piece normal family of distributions and its fitting. Communications in Statistics—Theory and Methods 11:879–885.
- Kimber, A. C. 1985. Methods for the two-piece normal distribution. Communications in Statistics—Theory and Methods 14:235–245.
- Kimber, A. C., C. Jeynes. 1987. An application of the truncated two-piece normal distribution to the measurement of depths of arsenic implants in silicon. Applied Statistics 36:352–357.
- Liu, C., D. B. Rubin. 1994. The ECME algorithm: A simple extension of EM and ECM with faster monotone convergence. Biometrika 81:633–648.
- Maleki, M., and R. B. Arellano-Valle. 2016. Maximum a-posteriori estimation of autoregressive processes based on finite mixtures of scale-mixtures of skew-normal distributions. Journal of Statistical Computation and Simulation 87:1061–83.
- Maleki, M., and A. R. Nematollahi. 2016. Bayesian approach to epsilon-skew-normal family. Communications in Statistics—Theory and Methods 46:7546–61.
- Meng, X., D. B. Rubin. 1993. Maximum likelihood estimation via the ECM algorithm: A general framework. Biometrika 80:267–278.
- Mudholkar, G. S., A. D. Hutson. 2000. The epsilon-skew-normal distribution for analyzing near-normal data. Journal of Statistical Planning and Inference 83:291–309.
- Rubio, F. J., M. F. G. Steel. 2014. Inference in Two-Piece Location-Scale Models with Jeffreys Priors. Bayesian Analysis 9 (1):1–22.
- Runnenberg, J. T. 1978. Mean, median, mode. Statistica Neerlandica. 32:73–79.
- Toth, Z., T. Szentimrey. 1990. The bi-normal distribution: a distribution for representing asymmetrical but normal-like weather elements. Journal of Climate 3:128–136.
- Tukey, J. W. 1977. Exploratory data analysis. Reading, MA: Addison-Wesley.