Renyi and Tsallis entropies for incomplete or overcomplete systems of events

被引：6

作者：

Campos, Diogenes ^{[1
]}

机构：

[1] Univ Jorge Tadeo Lozano, Fac Nat Sci & Engn, Bogota, Colombia

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2010年 / 389卷 / 05期

关键词：

Renyi entropy; Tsallis entropy; Shannon entropy; Incomplete normalization; Overcomplete normalization; Escort probabilities; STATISTICAL-MECHANICS; INFORMATION THEORY; PHASE-SPACE;

D O I：

10.1016/j.physa.2009.11.011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article, Shannon, Renyi and Tsallis entropies are considered for a system of events characterized by an arbitrary probability distribution P that can be incomplete, complete or overcomplete. After a suitable transformation that leads to the escort probabilities of P, these can be written as the canonical probability distribution for a set of pseudo-energies (Hartley information, epsilon(n) = -In P(n)) and a dimensionless parameter q that plays the role of thermodynamics beta. Several relations between the entropies are presented, including the analysis of compound systems. The method is illustrated with an example. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：981 / 992

页数：12

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