采用预平滑方法研究部分函数型线性回归模型,其中模型的响应变量为标量,解释变量由有限维向量和取值于函数空间的函数型变量构成.得到了模型系数的估计量,并讨论所提出估计量的相合性.
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.