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

This article provides a new moment generating function proof of Lindeberg—Lévy which does not weaken it by requiring the existence of the mgf or higher order moments of the constituent random ...

Studies axioms, counting formulas, conditional probability, independence, random variables, continuous and discrete distribution, expectation, joint distributions, moment generating functions, law of ...

Some basic properties of the class of exponential dispersion models, introduced by Jørgensen (1984), are derived, using either exponential family theory or properties of moment generating functions.