The uniqueness of the Fisher metric as information metric
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Publication:2409399
DOI10.1007/s10463-016-0562-0zbMath1393.62004arXiv1306.1465OpenAlexW1557611260MaRDI QIDQ2409399
Publication date: 11 October 2017
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.1465
mixed topologyChentsov's theoreminformation metric on statistical modelsmonotonicity of the Fisher metric
Convergence of probability measures (60B10) Statistical aspects of information-theoretic topics (62B10) Sufficient statistics and fields (62B05)
Related Items (9)
Information geometry on the curved \(q\)-exponential family with application to survival data analysis ⋮ Geometry on degradation models and mis-specification analysis by using \(\alpha\)-divergence ⋮ Natural differentiable structures on statistical models and the Fisher metric ⋮ The geometric structure on a degradation model with application to optimal design under a cost constraint ⋮ Information Geometry of the Probability Simplex: A Short Course ⋮ Amari-Chentsov structure on the statistical manifold of models for accelerated life tests ⋮ Geometry on the statistical manifold induced by the degradation model with soft failure data ⋮ Information geometry and sufficient statistics ⋮ Nonparametric Estimations and the Diffeological Fisher Metric
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