TITLE:
Probability Laws Derived from the Gamma Function
AUTHORS:
Lansana Toure, Soumaila Conde
KEYWORDS:
Gamma Function, Beta Function, Probability, Degree of Freedom
JOURNAL NAME:
Open Journal of Statistics,
Vol.14 No.1,
February
29,
2024
ABSTRACT: Several
densities or probability laws of continuous random variables derive from the
Euler Gamma function. These laws form the basis of sampling theory, namely
hypothesis testing and estimation. Namely the gamma, beta, and Student law, through the chi-square law and the normal law are all
distributions resulting from applications of Euleur functions.