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Volume 16, Issue 1, March 2017, Pages 1 - 17
On Marshall-Olkin Extended Weibull Distribution
Authors
Hanan Haj Ahmad, Omar M. Bdair, M. Ahsanullah
Corresponding Author
Hanan Haj Ahmad
Received 14 May 2016, Accepted 15 December 2016, Available Online 1 March 2017.
- DOI
- 10.2991/jsta.2017.16.1.1How to use a DOI?
- Keywords
- Marshall-Olkin distribution; Hazard rate function; Maximum likelihood estimators; Method of moment estimators; Least squares estimators; Percentiles estimators; Simulations; Characterization.
- Abstract
In this paper, we introduce a new form of distributions called ”Marshall-Olkin Extended Weibull distribution” MOEW. We study some of its structural properties and the shape of its hazard rate function. We provide some methods of point estimation for the unknown parameters and discuss its asymptotic properties. Finally, numerical methods and simulations are used to compare between different methods of estimation, then we study the behavior of parameters under different sample sizes and different values of parameters.
- 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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Cite this article
TY - JOUR AU - Hanan Haj Ahmad AU - Omar M. Bdair AU - M. Ahsanullah PY - 2017 DA - 2017/03/01 TI - On Marshall-Olkin Extended Weibull Distribution JO - Journal of Statistical Theory and Applications SP - 1 EP - 17 VL - 16 IS - 1 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2017.16.1.1 DO - 10.2991/jsta.2017.16.1.1 ID - Ahmad2017 ER -