English

Bayesian Estimation of the Kumaraswamy Inverse Weibull Distribution

Methodology 2015-05-21 v1

Abstract

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 rr-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.

Keywords

Cite

@article{arxiv.1505.05466,
  title  = {Bayesian Estimation of the Kumaraswamy Inverse Weibull Distribution},
  author = {Felipe R. S. de Gusmão and Vera L. D. Tomazella and Ricardo S. Ehlers},
  journal= {arXiv preprint arXiv:1505.05466},
  year   = {2015}
}