Kaniadakis statistics represents a significant extension of classical statistical mechanics. At its core is the concept of a κ-deformation, which generalises the traditional Boltzmann–Gibbs framework ...

Statistical mechanics provides the framework for deriving macroscopic thermodynamic properties from the microscopic characteristics of matter. Central to this discipline is the concept of entropy, ...

In this paper, we introduce a quantile version of past entropy for order statistics and study some of its properties. It is shown that this measure uniquely determine the quantile function. Two ...

Statistical mechanics is one of the pillars of modern physics. Ludwig Boltzmann (1844-1906) and Josiah Willard Gibbs (1839-1903) were its primary formulators. They both worked to establish a bridge ...

This is a preview. Log in through your library . Abstract A method is proposed for creating a smooth kernel density estimate from a sample of binned data. Simulations indicate that this method ...

Entropy is one of the most useful concepts in science but also one of the most confusing. This article serves as a brief introduction to the various types of entropy that can be used to quantify the ...