Neighbourhoods of independence and associated geometry in manifolds of bivariate Gaussian and Freund distributions

DOI10.2478/S11533-006-0034-5zbMath1126.53010OpenAlexW2142905698MaRDI QIDQ2642438

Christopher T. J. Dodson, Khadiga A. Arwini

Publication date: 17 August 2007

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-006-0034-5

zbMATH Keywords

exponential distributionGaussian distributioninformation geometrystatistical manifoldbivariate distributionFreund distributionneighbourhoods of independence

Mathematics Subject Classification ID

Local submanifolds (53B25) Local Riemannian geometry (53B20) Linear and affine connections (53B05) Foundations of stochastic processes (60G05)

Related Items (1)

Neighbourhoods of independence and associated geometry in manifolds of bivariate Gaussian and Freund distributions

Cites Work

• The information matrix, skewness tensor and \(\alpha\)-connections for the general multivariate elliptic distribution
• The geometrical structure of the parameter space of the two-dimensional normal distribution
• Geometry for stochastically inhomogeneous spacetimes.
• Spatial statistics and information geometry for parametric statistical models of galaxy clustering
• Differential-geometrical methods in statistics
• Neighbourhoods of independence and associated geometry in manifolds of bivariate Gaussian and Freund distributions
• A Bivariate Extension of the Exponential Distribution
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