Journal of Statistical Theory and Applications

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/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
16 - 1
Pages
18 - 25
Publication Date
2017/03/01
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2017.16.1.2How to use a DOI?
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  -