A Symmetric Component Alpha Normal Slash Distribution: Properties and Inferences
- 10.2991/jsta.2013.12.1.5How to use a DOI?
- Alpha Normal distribution, Kurtosis, Skewness, Slash distribution, Symmetric Component
In this paper, we introduce a new class of symmetric bimodal distribution. We define the distribution by means of a stochastic representation as the mixture of a symmetric component alpha normal random variable with respect to the power of a uniform random variable. The proposed distribution is more flexible in terms of its kurtosis than the slashed normal distribution. Properties involving moments and moment generating function are studied. The proposed distribution is illustrated with a real application by maximum likelihood procedure.
- © 2013, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Wenhao Gui AU - Pei-Hua Chen AU - Haiyan Wu PY - 2013 DA - 2013/05/01 TI - A Symmetric Component Alpha Normal Slash Distribution: Properties and Inferences JO - Journal of Statistical Theory and Applications SP - 55 EP - 66 VL - 12 IS - 1 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2013.12.1.5 DO - 10.2991/jsta.2013.12.1.5 ID - Gui2013 ER -