This is a graduate-level course focused on techniques and models in modern discrete probability. Topics include: the first and second moment methods, martingales, concentration inequalities, branching ...

The range of correlation coefficient of any bivariate discrete random vector with finite or countably infinite values is derived. We show analytically that the normal-transformed discrete bivariate ...

The purpose of this note is to establish the superiority of the factorial moment bound over Chernoff's bound for nonnegative integer-valued random variables. Journal Information The American ...

The RTG 3027 is a DFG-funded research inititative in analysis and probability at the University of Münster. The central theme is the rigorous mathematical understanding of how probabilistic systems, ...

A random variable that can take only a certain specified set of individual possible values-for example, the positive integers 1, 2, 3, . . . For example, stock prices are discrete random variables, ...

Discrete Mathematics is a subject that has gained prominence in recent times. Unlike regular Maths, where we deal with real numbers that vary continuously, Discrete Mathematics deals with logic that ...