SiZer for exploration of structures in curves

• 成果类型: Article
• 署名作者: Chaudhuri, P; Marron, JS
• 署名单位: Indian Statistical Institute; Indian Statistical Institute Kolkata; University of North Carolina; University of North Carolina Chapel Hill
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.2307/2669996
• 发表日期: 1999
• 页码: 807-823
• 关键词: DENSITY-ESTIMATION; bandwidth selection; multimodality; regression; models; error; tests

摘要

In the use of smoothing methods in data analysis, an important question is which observed features are really there, as opposed to being spurious sampling artifacts. An approach is described based on scale-space ideas originally developed in the computer vision literature. Assessment of SIgnificant ZERo crossings of derivatives results in the SiZer map, a graphical device for display of significance of features with respect to both location and scale. Here scale means level of resolution; that is, bandwidth.