Admissible Designs for Polynomial Monospline Regression

Admissible Designs for Polynomial Monospline Regression

Admissible designs for polynomial monospline regression are shown to be a proper subset of the admissible designs for spline regression. Sufficient conditions are given for designs for polynomial monospline regression to be admissible, and examples are used to show that simply counting points in int...

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Veröffentlicht in:The Annals of statistics 1980-07, Vol.8 (4), p.913-921
1. Verfasser: Bruvold, Norman T.
Format: Artikel
Sprache:eng
Schlagworte:
62C15
62K99
Admissible designs
Coefficients
Experiment design
experimental designs
Linear regression
Mathematical functions
Mathematics
monospline regression
Open intervals
Polynomials
regression
Sufficient conditions
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Beschreibung
Zusammenfassung:Admissible designs for polynomial monospline regression are shown to be a proper subset of the admissible designs for spline regression. Sufficient conditions are given for designs for polynomial monospline regression to be admissible, and examples are used to show that simply counting points in intervals does not determine admissibility for monospline functions.
ISSN:0090-5364
2168-8966
DOI:10.1214/aos/1176345083