关键词: 部分函数型线性回归模型, 函数型数据, 预平滑, 相合性

Abstract:

We studied the partial functional linear regression model using presmoothing technique. In the model, the response is scalar and explanatory variables consist of finite dimensional vector and functional variables valued in functional space. We proposed a new estimator of the coefficients and showed their consistency.

Key words: partial functional linear regression model, functional data, presmoothing, consistency