Conformal normal curvature and assessment of local influence

W.‐Y. Poon and Y. S. Poon

Journal of the Royal Statistical Society Series B, 1999, vol. 61, issue 1, 51-61

Abstract: 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.

Date: 1999
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