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Burr type-XII as a superstatistical stationary distribution

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  • Sánchez, Ewin

Abstract

Following the superstatistics concept presented by Beck and Cohen in 2003, the Mittag-Leffler distribution is used to build a stationary distribution, expanding the Boltzmann factor corresponding to each subsystem. The three-parameter Burr type XII distribution is obtained from the procedure, allowing to have a new alternative that could explain the behavior of some complex and nonequilibrium systems. Three most relevant superstatistics classes (lognormal, χ2 and inverse χ2) are reviewed.

Suggested Citation

  • Sánchez, Ewin, 2019. "Burr type-XII as a superstatistical stationary distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 443-446.
    • Handle: RePEc:eee:phsmap:v:516:y:2019:i:c:p:443-446
    DOI: 10.1016/j.physa.2018.10.044
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    References listed on IDEAS

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    1. R. Pillai, 1990. "On Mittag-Leffler functions and related distributions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(1), pages 157-161, March.
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