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 …

This paper introduces, investigates, and discusses the γ‐order generalized lognormal
distribution (γ‐GLD). Under certain values of the extra shape parameter γ, the usual …

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 …

The target of this paper is to provide a critical review and to enlarge the theory related to the
Generalized Normal Distributions (GND). This three term (position, scale shape) distribution …

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 …

The introduced three parameter (position μ, scale∑ and shape γ) multivariate generalized
Normal distribution (γ-GND) is based on a strong theoretical background and emerged from …

The objective of this chapter is to provide a thorough discussion on inequalities related to
the entropy measures in connection to the γ-order generalized normal distribution (γ–GND) …

Based on the definition of the γ-order generalized normal, the γ-order generalized standard
normal is obtained, and applications are referred. We proceed on the definition of the γ …

Based on Pigou's view, environmental taxation increases the cost of polluting activities
reflecting the true social cost imposed on societies by the environmental damage caused by …

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” …