On preferred point geometry in statistics

DOI10.1016/S0378-3758(01)00115-XzbMath0988.62002OpenAlexW2068719641MaRDI QIDQ1598689

Paul Marriott, Frank Critchley, Mark Salmon

Publication date: 28 May 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(01)00115-x

zbMATH Keywords

Riemannian geometryRao distancedivergenceKullback-Leibler divergencegeodesic distancestatistical manifoldspreferred point geometryinfluence analysisAmari's expected geometryparametric statistical modellingsynopsisyoke geometry

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Local differential geometry (53B99) Methods of local Riemannian geometry (53B21)

Related Items (2)

Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds ⋮ On the geometry ofF, Wald, LR, and LM tests in linear regression models

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