In this paper, we study some properties of the weighted dynamic measures of entropy introduced in Di Crescenzo and Longobardi (2006). It is shown that the proposed measures could characterize distributions, and characterizations for some...

The cumulative entropy is an information measure which is alternative to the differential entropy. Indeed, the cumulative entropy of a random lifetime X can be expressed as the expectation of its mean inactivity time evaluated at X . In this paper...

In this paper Couette flow at micro/nano scale is considered, simulated and analyzed with a special focus on two quantities, namely entropy and entropy generation rate, in the framework of the entropy transport equation using the direct simulation...

and rarefaction on entropy and entropy generation in terms of viscous dissipation and thermal diffusion are studied in a wide range of Mach and Knudsen numbers and the observed physics are discussed. In this regard, we computed entropy by using its kinetic theory...

Recently, Zografos and Nadarajah (2005) proposed two measures of uncertainty based

on the survival function, called the survival exponential entropy and the generalized

survival exponential entropy. In this article, we explore...

We propose new dynamic measures of uncertainty based on the notion of generalized dynamic

entropy introduced in Di Crescenzo and Longobardi (2006). These can uniquely determine distribution functions in continuous and discrete cases...

Maximizing the Shannon entropy and Renyi entropy in a class of distributions subject to a set of constraints are the topics that play an important role in statistical inference. In this paper some distributions with maximum Renyi entropy under given...

In this paper, we study the scalar field condensation around the hyperbolic black hole solutions in the Einstein and Gauss–Bonnet gravities. We investigate the Rényi entropy and inequalities governing on it under this phase transition. Our numerical...

We develop quantitative measures of entropy evolution for particle systems undergoing collision process in relation with various instability properties....

The aim of this paper is to investigate the entropy properties of current records. Several characterizations are obtained based on the entropy of these statistics. It is proved that the equality of the entropy of the endpoints of record coverage...