Strong symplectic structures on spaces of probability measures with positive density function.

DOI10.3792/pjaa.81.134zbMath1095.53054OpenAlexW2016935081MaRDI QIDQ820163

Yuichi Shishido

Publication date: 6 April 2006

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.81.134

zbMATH Keywords

Fisher information metric

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Symplectic manifolds (general theory) (53D05) Probabilistic measure theory (60A10) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (3)

SYMPLECTIC STRUCTURES ON STATISTICAL MANIFOLDS ⋮ Fisher information metric and Poisson kernels ⋮ Bayesian regression and classification using Gaussian process priors indexed by probability density functions

Cites Work

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• Symplectic manifolds and their Lagrangian submanifolds
• Die Fisher-Information und symplektische Strukturen
• A note on the Poisson structures of the space of probability measures
• Symplectic structures on Banach manifolds

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