Dual geometries, statistical manifolds, submanifolds, exponential families, curvatures, imbedding curvature tensor, Bartlett correction, likelihood ratio statistic,
This paper systematically presents the λ-deformation as the canonical framework of deformatio...
A few formulas and theorems for statistical structures are proved. They deal with various curvatures...
This thesis consists of two parts: In part I we apply the statistical mechanics techniques to a ge...
Abstract. The condition for the curvature of a statistical man-ifold to admit a kind of standard hyp...
A statistical manifold is a Riemannian manifold endowed with a torsion-free affine connection satisf...
AbstractThe condition for the curvature of a statistical manifold to admit a kind of standard hypers...
We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such su...
The geometry of hypersurfaces defined by the relation which generalizes the classical formula for fr...
The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds...
In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of constant ...
A statistical model M is a family of probability distributions, characterised by a set of continuous...
Curvature measures are important for the characterization of spatial structures since many physical ...
A systematic introduction to a general nonparametric theory of statistics on manifolds, with emphasi...
Statistical manifolds are representations of smooth families of probability density functions (ie su...
This thesis will take a look at the roots of modern-day information geometry and some applications i...
This paper systematically presents the λ-deformation as the canonical framework of deformatio...
A few formulas and theorems for statistical structures are proved. They deal with various curvatures...
This thesis consists of two parts: In part I we apply the statistical mechanics techniques to a ge...
Abstract. The condition for the curvature of a statistical man-ifold to admit a kind of standard hyp...
A statistical manifold is a Riemannian manifold endowed with a torsion-free affine connection satisf...
AbstractThe condition for the curvature of a statistical manifold to admit a kind of standard hypers...
We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such su...
The geometry of hypersurfaces defined by the relation which generalizes the classical formula for fr...
The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds...
In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of constant ...
A statistical model M is a family of probability distributions, characterised by a set of continuous...
Curvature measures are important for the characterization of spatial structures since many physical ...
A systematic introduction to a general nonparametric theory of statistics on manifolds, with emphasi...
Statistical manifolds are representations of smooth families of probability density functions (ie su...
This thesis will take a look at the roots of modern-day information geometry and some applications i...
This paper systematically presents the λ-deformation as the canonical framework of deformatio...
A few formulas and theorems for statistical structures are proved. They deal with various curvatures...
This thesis consists of two parts: In part I we apply the statistical mechanics techniques to a ge...