Several groups have recently investigated the flow of information in high-energy collisions, from entanglement entropy proton yielding classical Shannon its parton distribution functions (pdfs), through jet splitting generating entropy, to hadron decays. Lacking literature is a discussion fragmentation (FFs) instances where they can be considered as probability distributions, and we here provid...

This review provides a summary of methods originated in (non-equilibrium) statistical mechanics and information theory, which have recently found successful applications to quantitatively studying complexity in various components of the complex Entropy 2013, 15 4845 system Earth. Specifically, we discuss two classes of methods: (i) entropies of different kinds (e.g., on the one hand classical S...

information on water quality and pollution sources is important for the implementation of sustainable water resource management strategies. in this research, to evaluate spatial variation and the interpretation of large complex water quality data taken at seven different sites along the gorganrood river were subjected to multivariate statistical analysis. the factor analysis generated two signi...

Although the concept of entropy is originated from thermodynamics, its concepts and relevant principles, especially the principles of maximum entropy and minimum cross-entropy, have been extensively applied in finance. In this paper, we review the concepts and principles of entropy, as well as their applications in the field of finance, especially in portfolio selection and asset pricing. Furth...

In many life-testing and reliability studies, the experimenter might not always obtain complete information on failure times for all experimental units. One of the most common censoring schemes is progressive type-II censoring. The aim of this paper is characterizing the parent distributions based on Shannon entropy of progressive type-II censored order statistics. It is shown that the equality...

Using the usual definitions of information and entropy in quantum gravity and statistical mechanics and the existing views about the relation between information and complexity, we examine the evolution of complexity in an ever expanding universe.

Entropy is a measure of the uncertainty associated with an uncertain variable. So far, entropy, quadratic entropy and sine entropy have been proposed for uncertain variables. This paper will propose a triangular entropy for uncertain variables, and verify its properties such as translation invariance and positive linearity.