Probability theory has long provided a rigorous framework for quantifying uncertainty, yet its extension to infinite sets introduces profound conceptual challenges and opportunities. Contemporary ...

The old adage goes that if you give an infinite number of monkeys an infinite amount of time hitting random keys on a typewriter, one of them will eventually type out the complete works of William ...

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 ...

We consider a compound Poisson process whose jumps are modelled as a sequence of positive, integer-valued, dependent random variables, W1, W2,..., viewed as insurance claim amounts. The number of ...