Burr type-XII as a superstatistical stationary distribution

Ewin Sánchez

Physica A: Statistical Mechanics and its Applications, 2019, vol. 516, issue C, 443-446

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.

Keywords: Superstatistics; Mittag-Leffler; Burr type XII; Nonequilibrium system (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:516:y:2019:i:c:p:443-446

DOI: 10.1016/j.physa.2018.10.044

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