Title:Preferred Point Geometry and the Local Differential Geometry of the Kullback-Leibler Divergence
Author(s):CRITCHLEY, Frank; MARRIOTT, Paul; SALMON, MarkDate:1994Type of Publication:ArticleAbstract:A new preferred point geometric structure for statistical analysis, closely related to Amari's alpha-geometries, is introduced. The added preferred point structure is seen to resolve the problem that divergence measures ...
Title:Preferred Point Geometry and Statistical Manifolds
Author(s):CRITCHLEY, Frank; MARRIOTT, Paul; SALMON, MarkDate:1993Type of Publication:ArticleAbstract:A new mathematical object called a preferred point geometry is introduced in order to (a) provide a natural geometric framework in which to do statistical inference and (b) reflect the distinction between homogeneous aspects ...