Artigo Revisado por pares

Piecewise Regression Using Cubic Splines

1973; Volume: 68; Issue: 343 Linguagem: Inglês

10.1080/01621459.1973.10481376

ISSN

1537-274X

Autores

Dale J. Poirier,

Tópico(s)

Sparse and Compressive Sensing Techniques

Resumo

Abstract Spline theory and piecewise regression theory are integrated to provide a framework in which structural change is viewed as occurring in a smooth fashion. Specifically, structural change occurs at given points through jump discontinuities in the third derivative of a continuous piecewise cubic estimating function. Testing procedures are developed for detecting structural change as well as linear or quadratic segments. Finally, the techniques developed are illustrated empirically in a learning-by-doing model.

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