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Conformal normal curvature and assessment of local influence

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  • W.‐Y. Poon
  • Y. S. Poon

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.

Suggested Citation

  • W.‐Y. Poon & Y. S. Poon, 1999. "Conformal normal curvature and assessment of local influence," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(1), pages 51-61.
    • Handle: RePEc:bla:jorssb:v:61:y:1999:i:1:p:51-61
    DOI: 10.1111/1467-9868.00162
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