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Searching for Structure in Curve Samples

 

作者: Theo Gasser,   Alois Kneip,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1995)
卷期: Volume 90, issue 432  

页码: 1179-1188

 

ISSN:0162-1459

 

年代: 1995

 

DOI:10.1080/01621459.1995.10476624

 

出版商: Taylor & Francis Group

 

关键词: Curves;Density estimation;Extrema;Feature extraction;Regression

 

数据来源: Taylor

 

摘要:

The shape of a regression curve can to a large extent be characterized by the succession of structural features like extrema, inflection points, and so on. When analyzing a sample of regression curves, it is often important to know at an early stage of data analysis which structural features are occurring consistently in each curve of the sample. Such a definition is usually not easy due to substantial interindividual variation both in thexand theyaxis and due to the influence of noise. A method is proposed for identifying typical features without relying on an a priori specified functional model for the curves. The approach is based on the frequencies of occurrence of structural features, as, for example, maxima in the curve sample along thexaxis. Important tools are nonparametric regression and differentiation and kernel density estimation. Apart from a theoretical foundation, the usefulness of the method is documented by application to two interesting biomedical areas: growth and development, and neurophysiology.

 

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