Deformed algebras and generalizations of independence on deformed exponential families
H Matsuzoe, T Wada - Entropy, 2015 - mdpi.com
A deformed exponential family is a generalization of exponential families. Since the useful
classes of power law tailed distributions are described by the deformed exponential families …
classes of power law tailed distributions are described by the deformed exponential families …
Dually flat geometries of the deformed exponential family
An exponential family is dually flat with respect to Amari's±1 connection. A deformed
exponential family which is a generalization of the exponential family has two dually flat …
exponential family which is a generalization of the exponential family has two dually flat …
Hessian Structures and Non-invariant (F, G)-Geometry on a Deformed Exponential Family
KV Harsha, KSS Moosath - International Conference on Geometric …, 2015 - Springer
A deformed exponential family has two kinds of dual Hessian structures, the U-geometry and
the χ-geometry. In this paper, we discuss the relation between the non-invariant (F, G) …
the χ-geometry. In this paper, we discuss the relation between the non-invariant (F, G) …
[PDF][PDF] Geometric Structures on a Statistical Manifold and Geometry of Estimation
KV Harsha - 2015 - events.iist.ac.in
Information geometry emerged from the geometric study of a statistical model of probability
distributions. The information geometric tools are widely applied to various fields such as …
distributions. The information geometric tools are widely applied to various fields such as …
A DUALLY FLAT GEOMETRY OF THE MANIFOLD OF F-ESCORT PROBABILITY DISTRIBUTIONS.
KV Harsha… - … of Combinatorics & …, 2015 - search.ebscohost.com
In this paper, we consider a deformed exponential family called F-exponential family. Then
on a F-exponential family, we describe a dually flat structure called the X-geometry and we …
on a F-exponential family, we describe a dually flat structure called the X-geometry and we …