Copulas are functions that enable the construction of multivariate probability distributions by binding together univariate marginal distributions. Central to probability theory, they allow ...

This is a preview. Log in through your library . Abstract The results of this paper deal directly with the behavior of compositions of random probability generating functions. These results are then ...

It is shown that a class of infinite, block-partitioned, stochastic matrices has a matrix-geometric invariant probability vector of the form (x0,x1,...), where xk=x0Rk, for k≥ 0. The rate matrix R is ...

The Poisson distribution is widely used in artificial intelligence (AI) and machine learning. In Bayesian inference, probability distributions often help solve problems that would otherwise be ...

Operational risk is one of the influential risks identified by banking practitioners, and as the international banking supervisor, the Basel Committee on Banking Supervision has paid special attention ...

Many people gamble in the hope of winning money without considering the risks involved. By using probability theory it is possible to estimate the chance of certain events. For instance, one can ...