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Conformal normal curvature and assessment of local influence
Author(s) -
Poon W.Y.,
Poon Y. S.
Publication year - 1999
Publication title -
journal of the royal statistical society: series b (statistical methodology)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 6.523
H-Index - 137
eISSN - 1467-9868
pISSN - 1369-7412
DOI - 10.1111/1467-9868.00162
Subject(s) - curvature , conformal map , invariant (physics) , mathematics , measure (data warehouse) , differential (mechanical device) , minor (academic) , geometry , mathematical analysis , physics , computer science , mathematical physics , data mining , political science , law , thermodynamics
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.