In this paper, we extend and overview wide families of Alpha-, Beta-and Gamma-
divergences and discuss their fundamental properties. In literature usually only one single …

Geometric Modeling in Probability and Statistics Page 1 Ovidiu Calin · Constantin Udrişte
Geometric Modeling in Probability and Statistics Page 2 Geometric Modeling in Probability and …

In this paper we investigate statistical manifolds with almost quaternionic structures. We
define the concept of quaternionic Kähler-like statistical manifold and derive the main …

The main purpose of the present work is to investigate statistical manifolds endowed with
almost product structures. We prove that the statistical structure of a para-Kähler-like …

We study Codazzi couplings of an affine connection ∇∇ with a pseudo-Riemannian metric
g, a nondegenerate 2-form ω ω, and a tangent bundle isomorphism L on smooth manifolds …

We study the Voronoi diagrams of a finite set of Cauchy distributions and their dual
complexes from the viewpoint of information geometry by considering the Fisher-Rao …

Divergence functions are the non-symmetric “distance” on the manifold, M θ, of parametric
probability density functions over a measure space,(X, μ). Classical information geometry …

Generalizations of conjugate connections are studied in this paper. It is known that
generalized conjugate connections, and semi-conjugate connections are generalizations of …

In the present paper, firstly we express the relation between the semi-symmetric metric
connection $\tilde {\nabla} $ and the torsion-free connection $\nabla $ and obtain the …

Our purpose in this article is to study anti-invariant xi (perpendicular to)-cosymplectic-like
statistical submersions from cosymplectic-like statistical manifolds and an example. Also, we …