https://doi.org/10.1140/epjb/e2017-80371-5
Regular Article
A generalized entropy optimization and Maxwell–Boltzmann distribution★
1
Department of Mathematics and Statistics, McGill University Montreal,
Quebec
H3A 2K6, Canada
2
Office for Outer Space Affairs, United Nations Vienna International Center,
P.O. Box 500,
1400
Vienna, Austria
a e-mail: hans.haubold@gmail.com
Received:
25
June
2017
Received in final form:
11
October
2017
Published online: 19
February
2018
Based on the results of the diffusion entropy analysis of Super-Kamiokande solar neutrino data, a generalized entropy, introduced earlier by the first author is optimized under various conditions and it is shown that Maxwell–Boltzmann distribution, Raleigh distribution and other distributions can be obtained through such optimization procedures. Some properties of the entropy measure are examined and then Maxwell–Boltzmann and Raleigh densities are extended to multivariate cases. Connections to geometrical probability problems, isotropic random points, and spherically symmetric and elliptically contoured statistical distributions are pointed out.
© The Author(s) 2018. This article is published with open access at Springerlink.com
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
