Information geometry is the differential geometric treatment of statistical models. It thereby
provides the mathematical foundation of statistics. Information geometry therefore is of …

We use the term information geometry to cover those topics concerning the use of the Fisher
information matrix to define a Riemannian metric, § 2.0. 5, on smooth spaces of parametric …

Information geometry provides the mathematical sciences with a fresh framework of
analysis. This book presents a comprehensive introduction to the mathematical foundation …

This is the first comprehensive book on information geometry, written by the founder of the
field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide …

Information geometry Ama16 AJLS17 Ama21 aims at unravelling the geometric structures of
families of probability distributions and at studying their uses in information sciences …

Abstract Information geometry provides a geometric approach to families of statistical
models. The key geometric structures are the Fisher quadratic form and the Amari–Chentsov …

Abstract Information geometry is a new branch in mathematics, originated from the
applications of differential geometry to statistics. In this paper we briefly introduce Riemann …

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 …

We introduce a differential-geometric structure for spectral density functions of discrete-time
random processes. This is quite analogous to the Riemannian structure of information …

In this survey, we describe the fundamental differential-geometric structures of information
manifolds, state the fundamental theorem of information geometry, and illustrate some use …