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 this article, we prove that the measures ℚ T associated to the one-dimensional Edwards' model on the interval [0, T] converge to a limit measure ℚ when T goes to infinity, in the following sense: ...

Possibility theory and conditional probability offer complementary perspectives for modelling uncertainty, with each framework contributing distinct advantages. Possibility theory, rooted in fuzzy set ...

This is a preview. Log in through your library . Abstract Change of measure up to fixed times or stopping times is the theme of the famous Cameron-Martin-Girsanov formula. The paper studies change of ...

This course is available on the MSc in Applicable Mathematics, MSc in Financial Mathematics and MSc in Risk and Stochastics. This course is available as an outside option to students on other ...

This course is available on the MSc in Risk and Stochastics, MSc in Statistics (Financial Statistics) and MSc in Statistics (Financial Statistics) (Research). This course is available with permission ...