A method used by Kac in the study of Wiener functionals is adapted to the problem of calculating in closed form the joint moment generating functions of linear combinations of quadratic forms (not ...

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 ...

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

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