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Cubic Splines as a Special Case of Restricted Least Squares

 

作者: A. Buse,   L. Lim,  

 

期刊: Journal of the American Statistical Association  （Taylor Available online 1977）
卷期: Volume 72, issue 357  

页码: 64-68

 

ISSN:0162-1459

 

年代: 1977

 

DOI:10.1080/01621459.1977.10479907

 

出版商: Taylor & Francis Group

 

关键词: Cubic splines;Restricted least squares;Tests of restrictions;Structural change

 

数据来源: Taylor

 

摘要:

The standard cubic spline regression method is shown to be a special case of the restricted least-squares estimator. The equivalence of the two procedures under a common set of restrictions is proved. The greater flexibility of the restricted least-squares estimator in terms of the number of restrictions and tests of hypotheses that can be utilized is illustrated by an application to a set of data that has been previously analyzed by the spline method.

 

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