Preferred point geometry and the local differential geometry of the Kullback-Leibler divergence
type: Item
instance of: scholarly article
title: Preferred point geometry and the local differential geometry of the Kullback-Leibler divergence
zbMATH Open document ID: 0821.62004
author: Frank Critchley
author: Paul Marriott
author: Mark Salmon
published in: The Annals of Statistics
publication date: 1995-10-03T00:00:00Z
Mathematics Subject Classification ID: 62A01
Mathematics Subject Classification ID: 53B99
Mathematics Subject Classification ID: 62B10
Mathematics Subject Classification ID: 62F12
Mathematics Subject Classification ID: 53B21
zbMATH DE Number: 756509
zbMATH Keywords: Amari's alpha-geometry
zbMATH Keywords: Pythagoras' theorem
zbMATH Keywords: statistical manifold
zbMATH Keywords: new preferred point geometric structure
zbMATH Keywords: divergence measures
zbMATH Keywords: Kullback- Leibler divergence
zbMATH Keywords: curvature condition
zbMATH Keywords: preferred point geodesic distance
Wikidata QID: Q115240735
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1176325644
OpenAlex ID: W2041840807
DOI: 10.1214/AOS/1176325644
description: scientific article; zbMATH DE number 756509