Conformal normal curvature and assessment of local influence

• 成果类型: Article
• 署名作者: Poon, WY; Poon, YS
• 署名单位: Chinese University of Hong Kong; University of California System; University of California Riverside
• 刊物名称: JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
• ISSN/ISSBN: 1369-7412
• DOI: 10.1111/1467-9868.00162
• 发表日期: 1999
• 页码: 51-61
• 关键词: diagnostics

摘要

In 1986, R. D. Cook proposed differential geometry to assess local influence of minor perturbations of statistical models. We construct a conformally invariant curvature, the conformal normal curvature, for the same purpose. This curvature provides a measure of local influence ranging from 0 to 1, with objective bench-marks to judge largeness. We study various approaches to using the conformal normal curvature and the relationships between these approaches.