On a criterion of Riemannian distance for singularity and absolute continuity of probability measures.

DOI10.1016/S0167-7152(03)00082-8zbMath1116.28300OpenAlexW2001317511WikidataQ115339565 ScholiaQ115339565MaRDI QIDQ1423201

Kee Won Lee, Yoon Tae Kim

Publication date: 14 February 2004

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(03)00082-8

zbMATH Keywords

Riemannian metricSingularityAbsolute continuityRiemannian distanceGeodesicExponential map

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Spaces of measures, convergence of measures (28A33) Convergence of probability measures (60B10) Abstract differentiation theory, differentiation of set functions (28A15)

Cites Work

• Differential geometry of curved exponential families. Curvatures and information loss
• Differential-geometrical methods in statistics
• A Curious Example from Statistical Differential Geometry
• A geometric approach to singularity for Hilbert space-valued SDEs
• Unnamed Item
• Unnamed Item

This page was built for publication: On a criterion of Riemannian distance for singularity and absolute continuity of probability measures.