Bivariate regression splines

Lin-Ann Chen

doi:10.1016/0167-9473(94)00026-3

Bivariate regression splines

Lin-Ann Chen

Institute of Statistics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Towards the construction of multivariate spline functions, we introduce a way to set linear restrictions in the generation of bivariate regression splines. The hyperplanes in R2 are used in the role of “knot” to slice the domain of explanatory variables; hence, we have the flexibility in domain partition which includes rectangle, parallelogram, trapezoid and trapezium.

Original language	English
Pages (from-to)	399-418
Number of pages	20
Journal	Computational Statistics and Data Analysis
Volume	21
Issue number	4
DOIs	https://doi.org/10.1016/0167-9473(94)00026-3
State	Published - Apr 1996

Keywords

Bivariate regression spline
Hyperplane
Linear restriction
Piecewise polynomial

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10.1016/0167-9473(94)00026-3

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title = "Bivariate regression splines",

abstract = "Towards the construction of multivariate spline functions, we introduce a way to set linear restrictions in the generation of bivariate regression splines. The hyperplanes in R2 are used in the role of “knot” to slice the domain of explanatory variables; hence, we have the flexibility in domain partition which includes rectangle, parallelogram, trapezoid and trapezium.",

keywords = "Bivariate regression spline, Hyperplane, Linear restriction, Piecewise polynomial",

author = "Lin-Ann Chen",

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AB - Towards the construction of multivariate spline functions, we introduce a way to set linear restrictions in the generation of bivariate regression splines. The hyperplanes in R2 are used in the role of “knot” to slice the domain of explanatory variables; hence, we have the flexibility in domain partition which includes rectangle, parallelogram, trapezoid and trapezium.

KW - Bivariate regression spline

KW - Hyperplane

KW - Linear restriction

KW - Piecewise polynomial

U2 - 10.1016/0167-9473(94)00026-3

DO - 10.1016/0167-9473(94)00026-3

M3 - Article

SN - 0167-9473

VL - 21

SP - 399

EP - 418

JO - Computational Statistics and Data Analysis

JF - Computational Statistics and Data Analysis

IS - 4

ER -

Bivariate regression splines

Abstract

Keywords

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