Information geometry and its applications

Pescara - 1-5 July 2002


Abstract

July 2 - 15.20-16.10
P. Vos - Dual geometries in statistics

An overview of the role of dual geometries in statistics is given, beginning with the classical result on the relative information loss of a statistic expressed in terms of two curvatures. This important result is used to illustrate the various contributions dual geometry can make in statistics. Other topics, including maximum likelihood estimation, sufficiency, and generalized linear models, are also discussed. [an error occurred while processing this directive]