Browsing ECO Articles by Author "MARRIOTT, Paul"
Title:On the Differential Geometry of the Wald Test With Nonlinear Restrictions Author(s):CRITCHLEY, Frank; MARRIOTT, Paul; SALMON, MarkDate:1996Citation:Econometrica, 1996, 64, 5, 1213-1222Type:Article
Title:Preferred Point Geometry and the Local Differential Geometry of the Kullback-Leibler Divergence Author(s):CRITCHLEY, Frank; MARRIOTT, Paul; SALMON, MarkDate:1994Citation:Annals Of Statistics, 1994, 22, 3, 1587-1602Type: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:1993Citation:Annals Of Statistics, 1993, 21, 3, 1197-1224Type: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 ...