Bayesian Estimation of the Kumaraswamy Inverse Weibull Distribution
- https://doi.org/10.2991/jsta.2017.16.2.9How to use a DOI?
- Kumaraswamy distribution; Weibull distribution; Survival; Bayesian analysis.
The Kumaraswamy InverseWeibull distribution has the ability to model failure rates that have unimodal shapes and are quite common in reliability and biological studies. The three-parameter Kumaraswamy InverseWeibull distribution with decreasing and unimodal failure rate is introduced. We provide a comprehensive treatment of the mathematical properties of the Kumaraswany Inverse Weibull distribution and derive expressions for its moment generating function and the r-th generalized moment. Some properties of the model with some graphs of density and hazard function are discussed. We also discuss a Bayesian approach for this distribution and an application was made for a real data set.
- © 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 - Felipe R.S. de Gusmão AU - Vera L.D. Tomazella AU - Ricardo S. Ehlers PY - 2017 DA - 2017/06/01 TI - Bayesian Estimation of the Kumaraswamy Inverse Weibull Distribution JO - Journal of Statistical Theory and Applications SP - 248 EP - 260 VL - 16 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2017.16.2.9 DO - https://doi.org/10.2991/jsta.2017.16.2.9 ID - deGusmão2017 ER -