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cond-mat.stat-mechDec 19, 2007
21
citations (OpenAlex)
authors
  • Thierry Dauxois
institutions
  • Centre National de la Recherche Scientifique
  • École Normale Supérieure de Lyon
  • Laboratoire de Physique de l'ENS de Lyon
arXiv abstractPDF
paper

Non-Gaussian distributions under scrutiny

arXiv:0712.3153 · doi:10.1088/1742-5468/2007/08/N08001

Abstract

Comment of the very interesting paper by Hilhorst & Schehr, J. Stat. Mech. P06003 (2007). The main point is that one should be extremely careful when interpreting non-Gaussian data in terms of q-Gaussians.

References in corpus (5)

  • Dynamical foundations of nonextensive statistical mechanics
  • Experimental Lagrangian Acceleration Probability Density Function Measurement
  • Numerical indications of a q-generalised central limit theorem
  • A note on q-Gaussians and non-Gaussians in statistical mechanics
  • Generalized Box-Muller method for generating q-Gaussian random deviates

Cited by in corpus (7)

  • Ergodicity and Central Limit Theorem in Systems with Long-Range Interactions
  • Quasi-stationary chaotic states in multi-dimensional Hamiltonian systems
  • Analytic results for the Tsallis thermodynamic variables
  • Open Problems within Nonextensive Statistical Mechanics
  • Generalized Pearson distributions for charged particles interacting with an electric and/or a magnetic field
  • Analytical predictions of non-Gaussian distribution parameters for stellar plasmas
  • T. Dauxois' "Non-Gaussian distributions under scrutiny" under scrutiny
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