Probability and statistics play pivotal roles in various fields, with stock trading and casino games being prime examples of where these mathematical concepts are crucial. Understanding how ...

Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, “Probability is the most important concept in modern science, especially as nobody has the ...

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

Description: A first course in probability intended to serve as a background for statistics and other applications. Sample spaces and axioms of probability, discrete and continuous random variables, ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

This paper deals with numerous variants for bounds for probabilities of large deviations of sums of dependent random vectors with values in Banach space. It includes generalization of S. N.