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Conformal normal curvature and assessment of local influence

WY Poon Yat Sun Poon

Differential Geometry mathscidoc:1910.43789

Journal of the Royal Statistical Society: Series B (Statistical Methodology), 61, (1), 51-61, 1999
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 benchmarks to judge largeness. We study various approaches to using the conformal normal curvature and the relationships between these approaches.
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@inproceedings{wy1999conformal,
  title={Conformal normal curvature and assessment of local influence},
  author={WY Poon, and Yat Sun Poon},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020220103158551318},
  booktitle={Journal of the Royal Statistical Society: Series B (Statistical Methodology)},
  volume={61},
  number={1},
  pages={51-61},
  year={1999},
}
WY Poon, and Yat Sun Poon. Conformal normal curvature and assessment of local influence. 1999. Vol. 61. In Journal of the Royal Statistical Society: Series B (Statistical Methodology). pp.51-61. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020220103158551318.
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