Bayesian Estimation of the Kumaraswamy Inverse Weibull Distribution

DOI

10.2991/jsta.2017.16.2.9How to use a DOI?

Keywords

Kumaraswamy distribution; Weibull distribution; Survival; Bayesian analysis.

Abstract

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.

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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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  - 10.2991/jsta.2017.16.2.9
ID  - deGusmão2017
ER  -