On the Additive Weibull Distribution |
| |
| Authors: | Artur J Lemonte Gauss M Cordeiro Edwin M M Ortega |
| |
| Institution: | 1. Departamento de Estatística, Universidade Federal de Pernambuco, Recife, Brazilarturlemonte@gmail.com;3. Departamento de Estatística, Universidade Federal de Pernambuco, Recife, Brazil;4. Departamento de Ciências Exatas, Universidade de S?o Paulo, Piracicaba, Brazil |
| |
| Abstract: | We derive explicit expressions for the moments, incomplete moments, quantile function and generating function of the additive Weibull model pioneered by Xie and Lai (1995 Xie, M., Lai, C.D. (1995). Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function. Reliab. Eng. Syst. Safety 52:87–93.Crossref], Web of Science ®] , Google Scholar]), which is a quite flexible distribution for fitting lifetime data with bathtub-shaped failure rate function. In addition, we estimate the model parameters by maximum likelihood and determine the observed information matrix. The flexibility of the additive Weibull distribution is illustrated by means of one application to real data. |
| |
| Keywords: | Additive Weibull model Maximum likelihood estimation Moment Moment generating function Weibull distribution |
|
|
