TY - JOUR
T1 - Bivariate superstatistics based on generalized gamma distribution
AU - Caamaño-Carrillo, Christian
AU - Contreras-Reyes, Javier E.
AU - González-Navarrete, Manuel
AU - Sánchez, Ewin
N1 - Publisher Copyright:
© 2020, EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2020/3/1
Y1 - 2020/3/1
N2 - 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: [Figure not available: see fulltext.].
AB - 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: [Figure not available: see fulltext.].
KW - Statistical and Nonlinear Physics
UR - http://www.scopus.com/inward/record.url?scp=85080986499&partnerID=8YFLogxK
U2 - 10.1140/epjb/e2020-100606-8
DO - 10.1140/epjb/e2020-100606-8
M3 - Article
AN - SCOPUS:85080986499
SN - 1434-6028
VL - 93
JO - European Physical Journal B
JF - European Physical Journal B
IS - 3
M1 - 43
ER -