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A Note on Local Influence Based on Normal Curvature
Author(s) -
Fung Wing K.,
Kwan C. W.
Publication year - 1997
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 - 10.1111/1467-9868.00100
Subject(s) - curvature , mathematics , statistic , invariant (physics) , displacement (psychology) , object (grammar) , zero (linguistics) , scale (ratio) , mathematical analysis , geometry , physics , statistics , computer science , psychology , artificial intelligence , mathematical physics , philosophy , quantum mechanics , psychotherapist , linguistics
Object functions other than the likelihood displacement, such as a parameter estimate or a test statistic, can also be used in local influence analysis. The normal curvatures of these object functions have been studied in situations where the slopes were non‐zero. In these situations, we show that the normal curvature is not scale invariant and thus ambiguous conclusions will be drawn. Comments on the application of the general normal curvature formula are presented.