论文标题
变化的功能添加剂模型
Varying-coefficient functional additive models
论文作者
论文摘要
我们将不同系数的功能线性模型扩展到非线性模型，并提出一个不同系数的功能添加剂模型。所提出的方法可以代表函数预测因子与标量响应之间的关系，而标量响应取决于外源变量。它捕获变量之间的非线性结构，并提供了它们的可解释关系。通过基础扩展和受惩罚的似然法估算该模型，然后通过模型选择标准选择估算过程中包含的调整参数。提供了模拟研究以显示所提出方法的有效性。我们还将其应用于作物产量数据的分析，然后研究环境因素如何以及何时与作物产量的数量相关。
We extend the varying coefficient functional linear model to the nonlinear model and propose a varying coefficient functional additive model. The proposed method can represent the relationship between functional predictors and a scalar response where the response depends on an exogenous variable.It captures the nonlinear structure between variables and also provides interpretable relationship of them. The model is estimated through basis expansions and penalized likelihood method, and then the tuning parameters included at the estimation procedure are selected by a model selection criterion. Simulation studies are provided to show the effectiveness of the proposed method. We also apply it to the analysis of crop yield data and then investigate how and when the environmental factor relates to the amount of the crop yield.
