Title: Tensor product polynomial splines
Authors: Chen, LA
Chan, WY
Lee, TS
統計學研究所
Institute of Statistics
Keywords: nonparametric regression;piecewise polynomials;tensor product spline
Issue Date: 1-Jan-1997
Abstract: This paper presents a unified study of smoothing tensor product piecewise polynomials as tensor product polynomial splines. This study generalizes the theory of univariate polynomial splines of Poirier (1973) and Smith (1979) to the multivariate setting, and the method proposed herein provides various spline bases that gives great flexibility for selecting models. An example analyzing an Australia wine industry data shows simple tensor product spline can capture the trend in the data appropriately to law of economics whereas multiple lineal model fails in capturing the trend (see Maddala (1988)).
URI: http://hdl.handle.net/11536/844
ISSN: 0361-0926
Journal: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Volume: 26
Issue: 9
Begin Page: 2093
End Page: 2111
Appears in Collections:Articles


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  1. A1997XV59000003.pdf