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 ...

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 ...

This is a preview. Log in through your library . Publisher Information The purpose of the Institute of Mathematical Statistics (IMS) is to foster the development and dissemination of the theory and ...

Introduction to probability theory and its applications. Axioms of probability, distributions, discrete and continuous random variables, conditional and joint distributions, correlation, limit laws, ...

What happened when a gambler asked for help from a mathematician? The formal study of Probability. Infinite Series is available to stream on pbs.org and the free PBS App, available on iPhone, Apple TV ...

The Centre for Probability, Statistics and Data Science covers three broadly overlapping main areas of research: probability, statistics and data science. Probability theory is a core topic within ...