Volume 14, Issue 2, June 2015, Pages 169 - 183
On the Weibull-X family of distributions
Authors
Ayman Alzaatreh, Indranil Ghosh
Corresponding Author
Ayman Alzaatreh
Received 4 March 2014, Accepted 8 February 2015, Available Online 30 June 2015.
- DOI
- 10.2991/jsta.2015.14.2.5How to use a DOI?
- Keywords
- Weibull-logistic distribution; T-X families of distributions; Shannon’s entropy; reliability parameter; distribution of the sample extremums
- Abstract
In this paper, the Weibull-X family is proposed and some of its properties are discussed. A member of the Weibull-X family, the Weibull-logistic distribution, is defined and studied. Various properties of the Weibulllogistic distribution are obtained. The distribution is found to be unimodal and the shape can be symmetric, right skewed or left skewed. The structural analysis of the distribution in this paper includes limiting behavior, mode, quantiles, moments, skewness, kurtosis, Shannon’s entropy and order statistics. The method of maximum likelihood estimation is proposed for estimating the model parameters. A real data set is used to illustrate the application of the Weibull-logistic distribution.
- 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 - Ayman Alzaatreh AU - Indranil Ghosh PY - 2015 DA - 2015/06/30 TI - On the Weibull-X family of distributions JO - Journal of Statistical Theory and Applications SP - 169 EP - 183 VL - 14 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2015.14.2.5 DO - 10.2991/jsta.2015.14.2.5 ID - Alzaatreh2015 ER -