This paper proposes a partial linear regression model based on Fourier basis by com-bining nonparametric regression model and quantile regression model.We use the Fourier approximation of function model of the nonlinear function,and combined with quantile re-gression model estimation method of the model are given,under some basic assumptions The consistency of parameter vector and nonlinear function estimation is proved.The effec-tiveness of this method is demonstrated by simulation studies.At the end of the paper,the meteorological data of Beijing Capital International Airport are empirically analyzed with this model,and a new method will be proposed to accurately predict the diffusion of PM2.5 by this model.
关键词
Fourier基/纵向数据/分位数回归模型/非参数模型
Key words
Fourier Bases/Longitudinal Data/Quantile Regression Model/Nonpara-metric Model
万方数据