Addresses the topics of probability, random variables, discrete and continuous densities, expectation and variance, special distributions (binomial, Poisson, normal, etc.), moment generating functions ...

In this paper we study the moment generating function order and the new better than used in the moment generating function order (NBU MG ) life distributions. A closure property of this order under an ...

The central limit theorem (CLT) commonly presented in introductory probability and mathematical statistics courses is a simplification of the Lindeberg—Lévy CLT which uses moment generating functions ...

Moment generating function: A function that summarises all the moments of a probability distribution and is utilised to characterise its underlying properties.