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