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Bivariate superstatistics based on generalized gamma distribution

Author

Listed:
  • Christian Caamaño-Carrillo

    (Departamento de Estadística, Facultad de Ciencias, Universidad del Bío-Bío)

  • Javier E. Contreras-Reyes

    (Departamento de Estadística, Facultad de Ciencias, Universidad del Bío-Bío)

  • Manuel González-Navarrete

    (Departamento de Estadística, Facultad de Ciencias, Universidad del Bío-Bío)

  • Ewin Sánchez

    (Instituto de Investigación Multidisciplinario en Ciencia y Tecnología, Universidad de La Serena)

Abstract

The univariate gamma (chi-squared) superstatistics has been used in several applications by assuming independence between systems. However, in some cases it seems more reasonable to consider a dependence structure. This fact motivates the introduction of a family of bivariate superstatistics based on an extension of the gamma distribution, defined by generalized hypergeometric functions. The particular cases include Boltzmann and other statistical weighting factors in the literature. Numerical illustrations show the behaviour of the proposed superstatistics. Graphical abstract

Suggested Citation

  • Christian Caamaño-Carrillo & Javier E. Contreras-Reyes & Manuel González-Navarrete & Ewin Sánchez, 2020. "Bivariate superstatistics based on generalized gamma distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(3), pages 1-7, March.
    • Handle: RePEc:spr:eurphb:v:93:y:2020:i:3:d:10.1140_epjb_e2020-100606-8
    DOI: 10.1140/epjb/e2020-100606-8
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    Citations

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    Cited by:

    1. Ewin Sánchez & Manuel González-Navarrete & Christian Caamaño-Carrillo, 2021. "Bivariate superstatistics: an application to statistical plasma physics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(2), pages 1-7, February.
    2. Christian Caamaño-Carrillo & Javier E. Contreras-Reyes, 2022. "A Generalization of the Bivariate Gamma Distribution Based on Generalized Hypergeometric Functions," Mathematics, MDPI, vol. 10(9), pages 1-17, May.

    More about this item

    Keywords

    Statistical and Nonlinear Physics;

    Statistics

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