[PDF][PDF] Hellinger distance between generalized normal distributions

C Kitsos, T Toulias - Br. J. Math. Comput. Sci, 2017 - academia.edu
A relative measure of informational distance between two distributions is introduced in this
paper. For this purpose the Hellinger distance is used as it obeys to the definition of a …

Generalizations of entropy and information measures

TL Toulias, CP Kitsos - Computation, Cryptography, and Network Security, 2015 - Springer
This paper presents and discusses two generalized forms of the Shannon entropy, as well
as a generalized information measure. These measures are applied on a exponential-power …

Information divergence and the generalized normal distribution: A study on symmetricity

TL Toulias, CP Kitsos - Communications in Mathematics and Statistics, 2021 - Springer
This paper investigates and discusses the use of information divergence, through the widely
used Kullback–Leibler (KL) divergence, under the multivariate (generalized) γ γ-order …

Hazard rate and future lifetime for the generalized normal distribution

TL Toulias, CP Kitsos - Recent Studies on Risk Analysis and Statistical …, 2018 - Springer
The target of this paper is to discuss a generalized form of the well-known Law of Frequency
Error. This particular Law of Frequency of Errors is what is known as “Gaussian” or “Normal” …

Geometry in Quantitative Methods and Applications

C Kitsos, S Fatouros - Analysis, Geometry, Nonlinear Optimization …, 2023 - World Scientific
The target of this chapter is to investigate the geometrical line of thought adopted to proceed
in quantitative methods in application. Both Euclidean and non-Euclidean geometries were …

Inequalities in Statistics and Information Measures

CP Kitsos, TL Toulias - Differential and Integral Inequalities, 2019 - Springer
This paper presents and discusses a number of inequalities in the area of two distinct
mathematical branches, with not that different line of thought: Statistics and Mathematical …

[PDF][PDF] Information Distances and Divergences for the Generalized Normal Distribution

TL Toulias, CP Kitsos - Advances in Mathematics and Computer …, 2019 - researchgate.net
The study of relative measures of information between two distributions that characterizes an
Input/Output System is important for the investigation of the informational ability and …