This is a preview. Log in through your library . Abstract 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 ...

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

Multivariate normality testing plays a critical role in modern statistical analysis by evaluating whether a multivariate dataset conforms to the assumptions of a normal distribution. Such assessments ...

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

An investigation is carried out in the behavior of the determinants of certain moment matrices, for which the (i, j) entry is the (i + j)th moment of a distribution F. The determinant can be ...