Displaying discrete random variables Probability distributions are used to organise and display the outcomes and probabilities of discrete random variables. This makes it easier to see all possible ...

Abstract The ratio R of two random quantities is frequently encountered in probability and statistics. But while for unidimensional statistical variables the distribution of R can be computed ...

The use of special functions, especially Meijer G-functions and Fox H-functions [4] has helped a great deal in the study of the densities of the determinants of products and ratios of random variables ...

Fundamental methods are developed for the derivation of the probability density function and moments of rational algebraic functions of independent random variables. Laplace and Mellin integral ...

The FactorGraph package provides the set of different functions to perform inference over the factor graph with continuous or discrete random variables using the belief propagation algorithm. A ...

We derive the characteristic function (CF) for two product distributions—first for the product of two Gaussian random variables (RVs), where one has zero mean and unity variance, and the other has ...

It is well known that the entropy H(X) of a discrete random variable X is always greater than or equal to the entropy H(f(X)) of a function f of X, with equality if and only if f is one-to-one. In ...

Continuous random variables Continuous random variables A continuous random variable is a type of variable that can take on any value within a given range. Unlike discrete random variables, which have ...