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 …

In this paper the appropriate background in mathematics and statistics is considered in
developing methods to investigate the uncertainty problem associated with environmental …

The various attempts to present a generalized Normal distribution came to a conclusion by
trial and error, rather than a theoretical framework. It is the γ-order Generalized Normal …

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 …

Since its introduction, transfer entropy has become a popular information-theoretic tool for
detecting causal inference between two discretized random processes. By means of …

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” …

The target of this chapter is to investigate (and try to add more results to) the statistical
results based on logarithm Sobolev inequalities. Heisenberg's uncertainty principle can be …

In this paper the appropriate background in Mathematics and Statistics is considered in
developing methods to investigate Risk Analysis problems associated with Environmental …

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 …

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 …