Nonlinear functional models for functional responses in reproducing kernel Hilbert spaces

作者：Lian Heng^*

来源：Canadian Journal of Statistics, 2007, 35(4): 597-606.

• functional regression model
• generalized cross-validation
• kernel estimate
• representer theorem
• reproducing kernel Hilbert space

The author proposes an extension of reproducing kernel Hilbert space theory which provides a new framework for analyzing functional responses with regression models. The approach only presumes a general nonlinear regression structure, as opposed to existing linear regression models. The author proposes generalized cross-validation for automatic smoothing parameter estimation. He illustrates the use of the new estimator both on real and simulated data.

• 出版日期2007-12
• 单位南阳理工学院