Volume 16, Issue 3, September 2017, Pages 382 - 400
The Odd Log-Logistic Marshall-Olkin Lindley Model for Lifetime Data
Authors
Morad Alizadeh, Gamze Ozel, Emrah Altun, Mousa Abdi, G.G. Hamedani
Corresponding Author
Morad Alizadeh
Received 11 November 2016, Accepted 8 February 2017, Available Online 1 September 2017.
- DOI
- 10.2991/jsta.2017.16.3.10How to use a DOI?
- Keywords
- Lindley distribution; Maximum Likelihood; Moment; Odd log-logistic; Lifetime data; Characterizations
- Abstract
A new three parameter model called the odd log-logistic Marshall-Olkin-Lindley (OLLMO-L) distribution is proposed and studied. This distribution is symmetric, platykurtic, leptokurtic and unimodal. Various structural properties are derived, including explicit expressions for the ordinary and conditional moments, generating function and order statistics. We use maximum likelihood method to estimate the parameters of model. Simulation studies for some particular cases are also run to assess the performance of the maximum likelihood estimators. We prove empirically that the proposed distribution is a very competitive model to other classical models by means of two real data sets.
- 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 - Morad Alizadeh AU - Gamze Ozel AU - Emrah Altun AU - Mousa Abdi AU - G.G. Hamedani PY - 2017 DA - 2017/09/01 TI - The Odd Log-Logistic Marshall-Olkin Lindley Model for Lifetime Data JO - Journal of Statistical Theory and Applications SP - 382 EP - 400 VL - 16 IS - 3 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2017.16.3.10 DO - 10.2991/jsta.2017.16.3.10 ID - Alizadeh2017 ER -