This is a preview. Log in through your library . Journal of Applied Probability and Advances in Applied Probability have for four decades provided a forum for original research and reviews in applied ...

A notion of U-exponents of a probability measure on a linear space is introduced. These are bounded linear operators and it is shown that the set of all U-exponents forms a Lie wedge for full measures ...

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 ...

Theory of sets -- Point set topology -- Set functions -- Construction and properties of measures -- Definitions and properties of the integral -- Related spaces and measures -- The space of measurable ...

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 ...