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.
References
[1]
Piskonov, N. (1980) Differential and Integral Calculus. Mir, Moscou.
[2]
Graybill, F.A. and Mood, A.M. (1963) An Introduction Theory of Statistics. 2nd Edition, McGraw-Hill Book Company, New York.
[3]
Freud, M. (2005) Probability and Statistics for Engineers. 7th Edition, House of Electronics Industry, Beijing.
[4]
Saporta, G. (2006) Probabilites Analyse des Donnees et statistiques. 2nd Edition, Technip, Paris.
[5]
Bertrand, F. and Bertrand M.M. (2011) Statistique en 80 fiches pour les Scientifiques. DUNOD, Paris.
[6]
Avenel, M. and Riffault, F.J. (2005) Mathematiques Appliquées à la gestion. Sup’FOUCHER Vanves.
