The gamma-order generalized Chi-gamma distribution
Accepted - June 2024
Keywords:
normal distribution, γ-order generalized normal distribution, chi-square distribution, Rayleigh distribution, Maxwell-Boltzmann distributionAbstract
The various attempts to present a generalized Normal distribution came to a conclusion by trial and error, rather than a theoretical framework. It is the γ-order Generalized Normal distribution with a strong theoretical background due to the Euclidean Logarithm Sobolev Inequality (LSI), adopting an extra, shape parameter. The introduced Generalized Gaussian offers extensions to the Information Theory oriented results among other applications. Based on this distribution we go a step forward to generalize the Chi-square distribution and we present in this paper the γ-order Generalized Chi-γ. Moreover, both Rayleigh and Maxwell–Boltzmann distributions have been generalized.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 REVSTAT-Statistical Journal
This work is licensed under a Creative Commons Attribution 4.0 International License.