Preferred point \(\alpha\)-manifold and Amari's \(\alpha\)-connections

DOI10.1016/S0167-7152(97)00065-5zbMath0944.62004OpenAlexW1963770782MaRDI QIDQ1382218

Bo-Cheng Wei, Hong-Tu Zhu

Publication date: 6 May 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(97)00065-5

zbMATH Keywords

Amari expected geometrymixture familypreferred point alpha-geometryAmari's alpha-connectionpreferred point alpha-estimatepreferred point statistical alpha-geometry

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Foundations and philosophical topics in statistics (62A01) Differential geometric aspects in vector and tensor analysis (53A45) Methods of local Riemannian geometry (53B21)

Related Items (3)

Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds ⋮ Perturbation selection and influence measures in local influence analysis ⋮ On preferred point geometry in statistics

Cites Work

• Differential geometry, profile likelihood, L-sufficiency and composite transformation models
• Second order efficiency of minimum contrast estimators in a curved exponential family
• Likelihood and observed geometries
• Preferred point geometry and statistical manifolds
• Some notes on preferred point \(\alpha\)-geometry and \(\alpha\)-divergence function
• Preferred point geometry and the local differential geometry of the Kullback-Leibler divergence
• Differential-geometrical methods in statistics
• Parameterizations for Natural Exponential Families with Quadratic Variance Functions
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