This article proposes the use of moment generating functions (mgf) to obtain the distribution of some mixtures. For mixtures that do not have a mgf, a generalization using characteristic functions is ...

These tests often employ advanced metrics, such as weighted L2-statistics and comparisons via the moment generating function, to sensitively detect departures from normality.

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