The Extended Exponential Distribution and Its Applications
- https://doi.org/10.2991/jsta.2018.17.2.3How to use a DOI?
- Exponential distribution; Characterization; Generating function; Maximum likelihood; Simulation
We introduce a new three-parameter extension of the exponential distribution called the odd exponentiated half-logistic exponential distribution. Various of its properties including quantile and generating functions, ordinary and incomplete moments, mean residual life, mean inactivity time and some characterizations are investigated. The new density function can be expressed as a linear mixture of exponential densities. The hazard rate function of the new model can be decreasing, increasing or bathtub shaped. The maximum likelihood is used for estimating the model parameters. We prove empirically the flexibility of the new distribution using two real data sets.
- Copyright © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).
Cite this article
TY - JOUR AU - Ahmed Z. Afify AU - Mohamed Zayed AU - Mohammad Ahsanullah PY - 2018 DA - 2018/06/30 TI - The Extended Exponential Distribution and Its Applications JO - Journal of Statistical Theory and Applications SP - 213 EP - 229 VL - 17 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2018.17.2.3 DO - https://doi.org/10.2991/jsta.2018.17.2.3 ID - Afify2018 ER -