Average regression surface for dependent data

Zongwu Cai Jianqing Fan

Statistics Theory and Methods mathscidoc:1912.43356

Journal of Multivariate Analysis, 75, (1), 112-142, 2000.10
We study the estimation of the additive components in additive regression models, based on the weighted sample average of regression surface, for stationary <i></i>-mixing processes. Explicit expression of this method makes possible a fast computation and allows an asymptotic analysis. The estimation procedure is especially useful for additive modeling. In this paper, it is shown that the average surface estimator shares the same optimality as the ideal estimator and has the same ability to estimate the additive component as the ideal case where other components are known. Formulas for the asymptotic bias and normality of the estimator are established. A small simulation study is carried out to illustrate the performance of the estimation and a real example is also used to demonstrate our methodology.
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@inproceedings{zongwu2000average,
  title={Average regression surface for dependent data},
  author={Zongwu Cai, and Jianqing Fan},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113918011565916},
  booktitle={Journal of Multivariate Analysis},
  volume={75},
  number={1},
  pages={112-142},
  year={2000},
}
Zongwu Cai, and Jianqing Fan. Average regression surface for dependent data. 2000. Vol. 75. In Journal of Multivariate Analysis. pp.112-142. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113918011565916.
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