Power-law distributions and Fisher's information measure

2003/11/25 by F. Pennini, A. Plastino · 3 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Statistical Mechanics and Entropy #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.physa.2003.10.076

published as Physica A Vol. 334 (2004) 132-138. · accepted for publication in Physica A

arxiv created 2003/11/25 · openalex publication_date 2003/12/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that thermodynamic uncertainties (TU) it preserve their form in passing from Boltzmann-Gibbs' statistics to Tsallis' one provided that we express these TU in terms of the appropriate variable conjugate to the temperature in a nonextensive context.

Citations

• Lectures on Phase Transitions and the Renormalization Group
• Tsallis’ entropy maximization procedure revisited

Cited by

• On the maximum entropy principle and the minimization of the Fisher information in Tsallis statistics
• Heisenberg-Fisher thermal uncertainty measure
• Generalized Fisher information matrix in nonextensive systems with spatial correlation