AbstractThe condition for the curvature of a statistical manifold to admit a kind of standard hypersurface is given as a first step of the statistical submanifold theory. A complex version of the notion of statistical structures is also introduced
Dual geometries, statistical manifolds, submanifolds, exponential families, curvatures, imbedding cu...
A statistical model M is a family of probability distributions, characterised by a set of continuous...
A new mathematical object called a preferred point geometry is introduced in order to (a) provide a ...
Abstract. The condition for the curvature of a statistical man-ifold to admit a kind of standard hyp...
AbstractThe condition for the curvature of a statistical manifold to admit a kind of standard hypers...
The geometry of hypersurfaces defined by the relation which generalizes the classical formula for fr...
A statistical manifold is a Riemannian manifold endowed with a torsion-free affine connection satisf...
In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of constant ...
The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds...
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...
We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such su...
A systematic introduction to a general nonparametric theory of statistics on manifolds, with emphasi...
A diffeomorphism between statistical manifolds is said to be statistical if it preserves statistical...
A statistical structure is considered as a generalization of a pair of a Riemannian metric and its L...
Dual geometries, statistical manifolds, submanifolds, exponential families, curvatures, imbedding cu...
A statistical model M is a family of probability distributions, characterised by a set of continuous...
A new mathematical object called a preferred point geometry is introduced in order to (a) provide a ...
Abstract. The condition for the curvature of a statistical man-ifold to admit a kind of standard hyp...
AbstractThe condition for the curvature of a statistical manifold to admit a kind of standard hypers...
The geometry of hypersurfaces defined by the relation which generalizes the classical formula for fr...
A statistical manifold is a Riemannian manifold endowed with a torsion-free affine connection satisf...
In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of constant ...
The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds...
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...
We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such su...
A systematic introduction to a general nonparametric theory of statistics on manifolds, with emphasi...
A diffeomorphism between statistical manifolds is said to be statistical if it preserves statistical...
A statistical structure is considered as a generalization of a pair of a Riemannian metric and its L...
Dual geometries, statistical manifolds, submanifolds, exponential families, curvatures, imbedding cu...
A statistical model M is a family of probability distributions, characterised by a set of continuous...
A new mathematical object called a preferred point geometry is introduced in order to (a) provide a ...
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