An application of the poisson-weibull model for censured data

• Main Authors: Prataviera, F. (Author), Silva, G.O (Author), Vigas, V.P (Author)
• Format: Article
• Language: English
• Published: Universidade Federal de Lavras -Departamento de Estatistica 2021
• Subjects: Censored data; Distributions composition; Model selection; Survival analysis
• Online Access: View Fulltext in Publisher

 In this paper, we proposed the Poisson-Weibull distribution for the modeling of survival data. The motivation to study this model since, in addition to generalizing the Weibull distribution, which is widely used in several areas of knowledge among them the Survival and Reliability analysis, it presents great flexibility in the forms of the hazard function. The Poisson-Weibull distribution was created in a composition of discrete and continuous distributions where there is no information about which factor was responsible for the component failure, only the minimum lifetime value among all risks is observed. The maximum likelihood approach was used to estimate the parameters of the model. Also was conducted a simulation study to examine the mean, the bias, and the root of the mean square error of the maximum likelihood estimates of the proposed model according to the censoring percentages and sample sizes. The model selection criteria were also applied, in addition to graphic techniques such as TTT-Plot and Kaplan-Meier. Application to the real data set was used to illustrate the usefulness of the distribution. © 2021, Universidade Federal de Lavras -Departamento de Estatistica. All rights reserved.