Bivariate superstatistics based on generalized gamma distribution

Christian Caamaño-Carrillo (), Javier E. Contreras-Reyes, Manuel González-Navarrete and Ewin Sánchez
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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

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 3, 1-7

Abstract: 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

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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DOI: 10.1140/epjb/e2020-100606-8

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