References
- Abdous, B., and R. Theodorescu. 1992. Note on the spatial quantile of a random vector. Statistics & Probability Letters 13:333–36.
- Arellano-Valle, R. B., H. W. Gomez, and F. A. Quintana. 2005. Statistical inference for a general class of asymmetric distributions. Journal of Statistical Planning and Inference 128:427–43.
- Azzalini, A. 1985. A Class of distributions which includes the normal ones. Scandinavian Journal of Statistics 12:171–78.
- Azzalini, A. 1986. Further results on a class of distributions which includes the normal ones. Statistica 46:199–208.
- Box, G. E., and G. C. Tiao. 1973. Bayesian inference in statistical analysis. Reading, MA: Addison-Wesley Publishing Company.
- Demant, P., K. E. Thudium, M. V. Sepporta, H. Affronti, G. Meijer, L. Prendergast, R. H. J. Mathijssen, W. C. Burhans, W. W. Ma, A. Hutson, G. J. Fetterly, and A. J. Dittmar. 2015. Comprehensive genetic definition of susceptibility to toxic side effects of irinotecan in mice. Journal of Clinical Oncology 33(15): Supplement: S Meeting Abstract: e13566.
- DiCiccio, T. J., and A. C. Monti. 2004. Inferential aspects of the skew exponential power distribution. Journal of the American Statistical Association 99:439–50.
- Eugene, N., C. Lee, and F. Famoye. 2002. Beta-normal distribution and its applications. Communications in Statistics-Theory and Methods 31:497–512.
- Fechner, G. T. 1897. Kollectivmasslehre. Leipzig: Engleman.
- Férnandez, C., J. Osiewalski, and M. F. J. Steel. 1995. Modeling and inference with [nu spherical distributions. Journal of the American Statistical Association 90:1331–40.
- Geary, R. C. 1947. Testing for normality. Biometrika 34:209–42.
- Hutson, A. D., and A. Vexler. 2017. A cautionary note on beta families of distributions and the aliases within. The American Statistician 72:121–29.
- Jones, M. C. 2004. Families of distributions arising from distributions of order statistics. Test 13:1–43.
- Jones, M. C. 2006. A note on rescalings, reparameterizations and classes of distributions. Journal of Statistical Planning and Inference 136:2730–33.
- Kobayashi, G. 2016. Skew exponential power stochastic volatility model for analysis of skewness, non-normal tails, quantiles and expectiles. Computational Statistics 31:48–88.
- Monti, A. C. 2003. A note on the estimation of the skew normal and the skew exponential power distributions. Metron 61:205–19.
- Mudholkar, G. S., and A. D. Hutson. 2000. The epsilon-skew-normal distribution for analyzing near-normal data. Journal of Statistical Planning and Inference 83:291–309.
- Naranjo, L., C. J. Pérez, and J. Martín. 2012. Bayesian analysis of a skewed exponential power distribution. Proceedings of COMPSTAT 2012, 20th International Conference on Computational Statistics 641–52.
- Owen, D. 1956. Tables for computing bivariate normal probabilities. Annals of Mathematical Statistics 27:1075–90.
- Planche, T., T. Agbenyega, G. Bedu-Addo, D. Ansong, A. Owusu-Ofori, F. Micah, C. Anakwa, E. Asfo-Agyei, A. Hutson, P. Stacpoole, and S. Krishna. 2003. A prospective comparison of malaria with other severe diseases in african children: prognosis and optimization of management. Clinical Infectious Diseases 37:890–97.
- Rubio, F. J., and M. F. J. Steel. 2015. Bayesian modelling of skewness and kurtosis with two-piece scale and shape distributions. Electronic Journal of Statistics 9:1884–1912.
- Runnenberg, J. T. 1978. Mean, median, mode. Statistica Neerlandica 32:73–79.
- Salinas, H. S., R. B. Arellano-Valle, and H. W. Gomez. 2007. The extended skew-exponential power distribution and its derivation. Communications in Statistics Theory and Methods 36:1673–89.
- Stigler, S. M. 1977. Do robust estimators work with real data? The Annals of Statistics 5:1055–98.
- Subbotin, M. T. 1923. On the law of frequency of error. Matematicheskii Sbornik 31:296–301.
- Wichitaksorn, N., S. T. B. Choy, and R. Gerlach. 2014. A generalized class of skew distributions and associated robust quantile regression models. The Canadian Journal of Statistics 42:579–96.
- Zhu, D., and V. Zinde-Walsh. 2009. Properties and estimation of asymmetric exponential power distribution. Journal of Econometrics 148:86–99.