文章基本信息

标题：A Note on Bivariate Smoothing for Two-Dimensional Functional Data
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作者：Andrada Ivanescu
期刊名称：International Journal of Statistics and Probability
印刷版ISSN：1927-7032
电子版ISSN：1927-7040
出版年度：2013
卷号：2
期号：2
页码：102
DOI：10.5539/ijsp.v2n2p102
出版社：Canadian Center of Science and Education
摘要：In this paper we study a bivariate smoothing approach for estimating multiple functional parameters for functional data with a two-dimensional domain. We present a penalized regression framework for smoothing with the purpose to: (a) facilitate the estimation of the smooth overall bivariate mean function of two-dimensional functional data, (b) enable the estimation of the functional effect of a scalar covariate, (c) accommodate completely or incompletely sampled data, (d) implement the fitting approach using available statistical software, and (e) construct pointwise approximate confidence intervals for multiple bivariate functional parameters. Implementation results from simulation studies show that these methods perform very well in practice. We illustrate the usefulness of the bivariate smoothing approach to several real datasets, including applications to electricity demand.