On the geometric structure ofsome statistical manifolds

zbMath1458.60021arXiv1902.06144MaRDI QIDQ5135445

Mingao Yuan

Publication date: 20 November 2020

Full work available at URL: https://arxiv.org/abs/1902.06144

zbMATH Keywords

information geometryGaussian curvaturestatistical manifoldgeneralized normal distribution

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Statistical distribution theory (62E99)

Related Items (1)

Conformal vector fields on statistical manifolds

Cites Work

• A generalized normal distribution
• A non-Gaussian multivariate distribution with all lower-dimensional Gaussians and related families
• Information geometry. Near randomness and near independence
• Defining the curvature of a statistical problem (with applications to second order efficiency)
• The geometry of asymptotic inference. With comments and a rejoinder by the author
• Differential geometry of curved exponential families. Curvatures and information loss
• Differential-geometrical methods in statistics
• On the characteristic function of the generalized normal distribution
• The geometric structure of the inverse gamma distribution
• Conformal vector fields on some Finsler manifolds
• Geometric Modeling in Probability and Statistics
• On Randers metrics of isotropic scalar curvature
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