Bivariate regression splines

Lin-Ann Chen

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)399-418
Number of pages20
JournalComputational Statistics and Data Analysis
Volume21
Issue number4
DOIs
StatePublished - Apr 1996

Keywords

  • Bivariate regression spline
  • Hyperplane
  • Linear restriction
  • Piecewise polynomial

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