Volume 15, Issue 2, June 2016, Pages 125 - 141
The Additive Weibull-Geometric Distribution: Theory and Applications
Authors
I. Elbatal, M.M. Mansour, Mohammad Ahsanullah
Corresponding Author
I. Elbatal
Received 27 March 2014, Accepted 21 June 2015, Available Online 1 June 2016.
- DOI
- 10.2991/jsta.2016.15.2.3How to use a DOI?
- Keywords
- Additive Weibull distribution, Geometric distribution, Moments, Maximum likelihood.
- Abstract
In this paper, we introduce a new class of lifetime distributions which is called the additive Weibull geometric (AWG) distribution. This distribution obtained by compounding the additive Weibull and geometric distributions. The new distribution has a number of well-known lifetime special sub-models such as modified Weibull geometric, Weibull geometric, exponential geometric, among several others. Some structural properties of the proposed new distribution are discussed. We propose the method of maximum likelihood for estimating the model parameters and obtain the observed information matrix. A real data set is used to illustrate the importance and flexibility of the new 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 - I. Elbatal AU - M.M. Mansour AU - Mohammad Ahsanullah PY - 2016 DA - 2016/06/01 TI - The Additive Weibull-Geometric Distribution: Theory and Applications JO - Journal of Statistical Theory and Applications SP - 125 EP - 141 VL - 15 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2016.15.2.3 DO - 10.2991/jsta.2016.15.2.3 ID - Elbatal2016 ER -