Fast Grid Search and Bootstrap-based Inference for Continuous Two-phase Polynomial Regression Models.

ABSTRACT: Two-phase polynomial regression models (Robison, 1964; Fuller, 1969; Gallant and Fuller, 1973; Zhan et al., 1996) are widely used in ecology, public health, and other applied fields to model nonlinear relationships. These models are characterized by the presence of threshold parameters, across which the mean functions are allowed to change. That the threshold is a parameter of the model to be estimated from the data is an essential feature of two-phase models. It distinguishes them, and more generally, multi-phase models, from the spline models and has profound implications for both computation and inference for the models. Estimation of two-phase polynomial regression models is a non-convex, non-smooth optimization problem. Grid search provides high quality solutions to the estimation pro

SUBMITTER: Son H 

PROVIDER: S-EPMC10722876 | biostudies-literature | 2021 May

REPOSITORIES: biostudies-literature