Infinite-dimensional statistical manifolds based on a balanced chart

DOI10.3150/14-BEJ673zbMath1388.60043arXiv1308.3602MaRDI QIDQ265266

Nigel J. Newton

Publication date: 1 April 2016

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3602

zbMATH Keywords

Bayesian estimationinformation geometryBanach manifoldnonparametric statisticsFisher metric

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Foundations and philosophical topics in statistics (62A01) Probability theory on algebraic and topological structures (60B99)

Related Items (6)

On some information geometric structures concerning mercator projections ⋮ A two-parameter family of non-parametric, deformed exponential manifolds ⋮ Manifolds of differentiable densities ⋮ A class of non-parametric statistical manifolds modelled on Sobolev space ⋮ A Class of Non-parametric Deformed Exponential Statistical Models ⋮ The Banach manifold of measures and the Lagrange multipliers of statistical mechanics

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