Some notes on preferred point \(\alpha\)-geometry and \(\alpha\)-divergence function

DOI10.1016/S0167-7152(96)00157-5zbMath0899.62004MaRDI QIDQ1380621

Hong-Tu Zhu, Bo-Cheng Wei

Publication date: 17 November 1998

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

zbMATH Keywords

Pythagoras' theoremalpha-divergence functionAmari expected geometrymixture familypreferred point alpha-geometry

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Parametric inference (62F99)

Related Items (3)

Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds ⋮ Preferred point \(\alpha\)-manifold and Amari's \(\alpha\)-connections ⋮ On preferred point geometry in statistics

Cites Work

• Preferred point geometry and statistical manifolds
• The geometry of asymptotic inference. With comments and a rejoinder by the author
• Preferred point geometry and the local differential geometry of the Kullback-Leibler divergence
• Differential-geometrical methods in statistics
• The Role of Differential Geometry in Statistical Theory
• Unnamed Item

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