This is a preview. Log in through your library . Abstract The purpose of this paper is to show that the empirical characteristic function, when suitably normalised, converges weakly to a stationary ...

This paper is concerned with the following question: if a characteristic function satisfies a certain property at the origin, what can be said about its behavior on ...

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 ...

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 ...