On testing the fit of accelerated failure time and proportional hazard Weibull extension models

摘要

Characterized by three parameters, the Weibull extension distribution is introduced by Xie et al. as a generalization of the classical Weibull distribution. In this article, we are interested in the construction of modified chi-squared goodness-of-fit tests for both an accelerated failure time and Cox proportional hazards models with the Weibull extension distribution as the baseline distribution. We use the technique introduced by Bagdonavicius and Nikulin for right-censored samples. Besides an important simulation study, the obtained results are applied to illustrative examples from real data sets.