Volume 16, Issue 1, March 2017, Pages 18 - 25
Characterizations of the Generalized Beta-generated family of distributions
Authors
G.G. Hamedani, V. Mameli
Corresponding Author
G.G. Hamedani
Received 15 September 2015, Accepted 11 January 2016, Available Online 1 March 2017.
- DOI
- 10.2991/jsta.2017.16.1.2How to use a DOI?
- Keywords
- Generalized Beta-generated family; Beta skew-normal; Kumaraswamy skew-normal.
- Abstract
Several characterizations of Generalized Beta-generated family of distributions, introduced by Alexander et al. (2012), are presented, giving special emphasis to the Kumaraswamy skew-normal distribution and the Beta skew-normal distribution, special cases of this family. These characterizations are based on: (i) a simple relationship between two truncated moments; (ii) the hazard function; (iii) a single function of the random variable; (iv) truncated moments of a single function of the n-th order statistic.
- Copyright
- © 2017, 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 - G.G. Hamedani AU - V. Mameli PY - 2017 DA - 2017/03/01 TI - Characterizations of the Generalized Beta-generated family of distributions JO - Journal of Statistical Theory and Applications SP - 18 EP - 25 VL - 16 IS - 1 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2017.16.1.2 DO - 10.2991/jsta.2017.16.1.2 ID - Hamedani2017 ER -