References
- Azzalini A. A class of distributions which includes the normal ones. Scand J Statist. 1985;12:171–178.
- Arnold BC, Beaver RJ, Groeneveld RA, et al. The nontruncated marginal of a truncated bivariate normal distribution. Psychometrika. 1993;58:471–488.
- Arnold BC, Beaver RJ. Hidden trucation models. Sankhya. 2000;62:23–35.
- Nadarajah S. A generalized normal distribution. J Appl Stat. 2005;32:685–694.
- Gupta RC, Gupta RD. Analyzing skewed data by power normal model. Test. 2008;17:197–210.
- Kundu D. Geometric skew normal distribution. Sankhya. 2014;76:167–189.
- Alzaatreh A, Lee C, Famoye F. A new method for generating families of continuous distributions. Metron. 2013;71:63–79.
- Eugene N, Lee C, Famoye F. Beta-normal distribution and its applications. Comm Statist Theory Methods. 2002;31:497–512.
- Alzaatreh A, Famoye F, Lee C. The gamma-normal distribution: properties and applications. Comput Stat Data Anal. 2013. Available from: http://dx.doi.org/10.1016/j.csda.2013.07.035.
- Topp CW, Leone FC. A family of J-shaped frequency functions. J Am Stat Assoc. 1955;50:209–219.
- Sangsanit Y, Bodhisuwan W. The Topp–Leone generator of distributions: properties and inferences. Songklanakarin J Sci Technol. 2016;38:537–548.
- Shaw W, Buckley I. The alchemy of probability distributions: beyond Gram–Charlier expansions, and a Skew–Kurtotic–Normal distribution from a rank transmutation map. 2009. Article ID: arXiv:0901.0434 [q-fin.ST]. Available from: http://arxiv.org/pdf/0901.0434.pdf.
- Glaser RE. Bathtub and related failure rate characterizations. J Amer Statist Assoc. 1980;75:667–672.
- Gupta AK, Nadarajah S. On the moments of the Beta Normal distribution. Comm Statist Theory Methods. 2004;33:1–13.
- Shaked M, Shanthikumar JG. Stochastic orders and their applications. Boston: Academic Press; 1994.
- Cheng R, Amin N. Estimating parameters in continuous univariate distributions with a shifted origin. J R Stat Soc Ser B. 1983;45:394–403.
- Cook W. An introduction to regression graphics. New York: John Wiley & Sons; 1994.
- Azzalini A. The R package ‘sn’: The Skew-Normal and Skew-t distributions (version 1.5-0). 2017. Available from: http://azzalini.stat.unipd.it/SN.
- Smith RL, Naylora JC. Comparison of maximum likelihood and Bayesian estimators for the three-parameter Weibull distribution. Appl Statist. 1987;36:358–369.
- Aarset MV. How to identify a bathtub hazard rate. IEEE Trans Reliab. 1987;36:106–108.