基于模型参数基展开的函数回归及其应用

与传统的回归方法相比，函数数据回归可以从连续的角度揭示变量间内在关系发展变化的速率、曲率等更深层次的动态规律性。本文通过对模型参数的基函数展开来构建函数回归模型，并利用该模型对1989－2005年我国城镇居民消费函数进行动态分析。

The Functional Regression Model Based on Basis Function Expansion of Model Parameter and Its Application

Compared with the traditional regression method, functional data regression can explore deeper level dynamic regularity of intrinsic relations between variables, such as velocity, curvature and so on. This article constructs functional regression model based on basis expansion of model parameter, and using the model to make dynamic analysis of consumption function of China urban households from 1989 to 2005.