首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Bootstrap Bartlett correction in inflated beta regression
Authors:Laís H Loose  Tarciana L Pereira
Institution:1. Departamento de Estatística, Universidade Federal do Rio Grande do Norte, RN, Brazil;2. Departamento de Estatística, Universidade Federal da Paraíba, PB, Brazil
Abstract:The inflated beta regression model aims to enable the modeling of responses in the intervals (0, 1], 0, 1), or 0, 1]. In this model, hypothesis testing is often performed based on the likelihood ratio statistic. The critical values are obtained from asymptotic approximations, which may lead to distortions of size in small samples. In this sense, this article proposes the bootstrap Bartlett correction to the statistic of likelihood ratio in the inflated beta regression model. The proposed adjustment only requires a simple Monte Carlo simulation. Through extensive Monte Carlo simulations the finite sample performance (size and power) of the proposed corrected test is compared to the usual likelihood ratio test and the Skovgaard adjustment already proposed in the literature. The numerical results evidence that inference based on the proposed correction is much more reliable than that based on the usual likelihood ratio statistics and the Skovgaard adjustment. At the end of the work, an application to real data is also presented.
Keywords:Bootstrap Bartlett correction  Improvements in small samples  Inflated beta regression  Likelihood ratio test
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号