A study of generalized normal distributions |
| |
| Authors: | Wen-Jang Huang |
| |
| Institution: | Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung, Taiwan |
| |
| Abstract: | In this work, first some distributional properties of extended two-piece skew normal distributions are presented. Next we revisit the special case, that is two-piece skew normal distributions. Then two distributions related to two-piece skew normal distributions are studied. More precisely, we give some properties about generalized half normal distributions as well as a generalized Cauchy distribution. Finally, we discuss the distributions of linear combinations of two independent skew normal random variables. |
| |
| Keywords: | Half-normal skew-Cauchy skew-normal two-piece skew normal uni/bimodal distribution |
|
|
