A pathway to multivariate Gaussian density
ABSTRACT A general principle called "conservation of the ellipsoid of concentration" is introduced and a generalized entropic form of order 'alpha' is optimized under this principle. It is shown that this can produce a density which can act as a pathway to multivariate Gaussian density. The resulting entropic pathway contains as special cases the Boltzmann-Gibbs (Shannon) and Tsallis (Havrda-Charvat) entropic forms.
Full-textDOI: · Available from: Hans Joachim Haubold, Dec 12, 2012
SourceAvailable from: G. Mezzorani[Show abstract] [Hide abstract]
ABSTRACT: Stimulated by the recent debate on the physical relevance and on the predictivity of q-Gaussian formalism, we present specific analytical expressions for the parameters characterizing non-Gaussian distributions, such as the nonextensive parameter q, expressions that we have proposed for different physical systems, an important example being plasmas in the stellar cores. Comment: 8 pages, no figures, two columns AAS Latex Macros, references updated. To be published in Astrophysics and Space ScienceAstrophysics and Space Science 06/2008; 315(1-4). DOI:10.1007/s10509-008-9842-3 · 2.40 Impact Factor