Probability theory constitutes the mathematical framework for quantifying uncertainty and analysing random phenomena. Its foundations lie in measure theory, where a probability space is defined as a ...

In 1929, a few years prior to his colleague Kolmogorov's Grundbegriffe, the leading Russian probabilist Khinchin published a paper in which he commented on the foundational ambitions of von Mises' ...

Life is uncertain. None of us know what is going to happen. We know little of what has happened in the past or is happening now outside our immediate experience. Uncertainty has been called the ...

This is a preview. Log in through your library . Abstract Consider a class of nonstationary time series with the form Yt = μt + ξt where {ξt} is a sequence of infinite moving averages of independent ...

Research of the probability and statistics group includes particle systems, theoretical statistics, non-conventional random walks, random matrix theory, and random polynomials. Research interests also ...

What makes a proof stronger than a guess? What does evidence look like in the realm of mathematical abstraction? Hear the mathematician Melanie Matchett Wood explain how probability helps to guide ...

Probability theory forms the mathematical backbone for quantifying uncertainty and random events, providing a rigorous language with which to describe both everyday phenomena and complex scientific ...