Unique additive information measures-Boltzmann-Gibbs-Shannon, Fisher and beyond

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

It is proved that the only additive and isotropic information measure that can depend on the probability distribution and also on its first derivative is a linear combination of the Boltzmann-Gibbs-Shannon and Fisher information measures. Power-law equilibrium distributions are found as a result of the interaction of the two terms. The case of second order derivative dependence is investigated and a corresponding additive information measure is given.

Original languageEnglish
Pages (from-to)28-33
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Volume365
Issue number1
DOIs
Publication statusPublished - Jun 1 2006

Fingerprint

Information Measure
Ludwig Boltzmann
Fisher information
Second-order Derivatives
Fisher Information
Equilibrium Distribution
Power-law Distribution
Linear Combination
Probability Distribution
Derivative
Term
Interaction
interactions

Keywords

  • Additivity
  • Fisher information
  • Non-extensive statistics
  • Schrödinger-Madelung equation

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Unique additive information measures-Boltzmann-Gibbs-Shannon, Fisher and beyond. / Ván, P.

In: Physica A: Statistical Mechanics and its Applications, Vol. 365, No. 1, 01.06.2006, p. 28-33.

Research output: Contribution to journalArticle

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