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Limit distributions of scale-invariant probabilistic models of correlated random variables with the q-Gaussian as an explicit example

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  • R. Hanel
  • S. Thurner
  • C. Tsallis

Abstract

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Suggested Citation

  • R. Hanel & S. Thurner & C. Tsallis, 2009. "Limit distributions of scale-invariant probabilistic models of correlated random variables with the q-Gaussian as an explicit example," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 72(2), pages 263-268, November.
    • Handle: RePEc:spr:eurphb:v:72:y:2009:i:2:p:263-268
    DOI: 10.1140/epjb/e2009-00330-1
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    Citations

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    Cited by:

    1. Amelia Carolina Sparavigna, 2024. "Raman Spectroscopy of Siderite with q-Gaussian and split-q-Gaussian Analyses," International Journal of Sciences, Office ijSciences, vol. 13(02), pages 8-21, February.
    2. Amelia Carolina Sparavigna, 2023. "Convolution and Fourier Transform: from Gaussian and Lorentzian Functions to q-Gaussian Tsallis Functions," International Journal of Sciences, Office ijSciences, vol. 12(11), pages 7-11, November.
    3. Amelia Carolina Sparavigna, 2024. "Water, q-Gaussians and Raman Spectroscopy," International Journal of Sciences, Office ijSciences, vol. 13(03), pages 17-25, March.
    4. Amelia Carolina Sparavigna, 2024. "The Fitted q-Gaussian Function, from Voigt Profile to Kubo Lineshape," International Journal of Sciences, Office ijSciences, vol. 13(03), pages 1-16, March.
    5. Amelia Carolina Sparavigna, 2024. "Kubo Lineshape and its Fitted q-Gaussian Tsallis Function," International Journal of Sciences, Office ijSciences, vol. 13(01), pages 1-9, January.
    6. Zamora, Dario Javier & Tsallis, Constantino, 2022. "Probabilistic models with nonlocal correlations: Numerical evidence of q-Large Deviation Theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    7. Amelia Carolina Sparavigna, 2023. "q-Gaussian Tsallis Functions and Egelstaff-Schofield Spectral Line Shapes," International Journal of Sciences, Office ijSciences, vol. 12(03), pages 47-50, March.
    8. Tsallis, Constantino & Borges, Ernesto P. & Plastino, Angel R., 2023. "Entropy evolution at generic power-law edge of chaos," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    9. Leitner, M. & Leubner, M.P. & Vörös, Z., 2011. "Creating kappa-like distributions from a Galton board," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1248-1257.
    10. Amelia Carolina Sparavigna, 2023. "q-Gaussian Tsallis Line Shapes and Raman Spectral Bands," International Journal of Sciences, Office ijSciences, vol. 12(03), pages 27-40, March.
    11. Amelia Carolina Sparavigna, 2023. "SERS Spectral Bands of L-Cysteine, Cysteamine and Homocysteine Fitted by Tsallis q-Gaussian Functions," International Journal of Sciences, Office ijSciences, vol. 12(09), pages 14-24, September.

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