Bayesian Estimation of the Kumaraswamy Inverse Weibull Distribution

Autor: de Gusmão, Felipe R. S., Tomazella, Vera L. D., Ehlers, Ricardo S.
Zdroj: Journal of Statistical Theory and Applications; June 2017, Vol. 16 Issue: 2 p248-260, 13p
Abstrakt: The Kumaraswamy Inverse Weibull 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 Inverse Weibull 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.
Databáze: Supplemental Index