Reparameterized Birnbaum-Saunders regression models with varying precision. (English) Zbl 1348.62220
Summary: We propose a methodology based on a reparameterized Birnbaum-Saunders regression model with varying precision, which generalizes the existing works in the literature on the topic. This methodology includes the estimation of model parameters, hypothesis tests for the precision parameter, a residual analysis and influence diagnostic tools. Simulation studies are conducted to evaluate its performance. We apply it to two real-world case-studies to show its potential with the R software.
MSC:
62J12 | Generalized linear models (logistic models) |
62J20 | Diagnostics, and linear inference and regression |
62F03 | Parametric hypothesis testing |