“One of the basic axioms of the rational theory of decision under uncertainty is Savage’s (1954) sure-thing principle (STP).

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

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 ...

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 . Publisher Information The purpose of the Institute of Mathematical Statistics (IMS) is to foster the development and dissemination of the theory and ...

This is a preview. Log in through your library . Abstract A simple proof of Wiener's multiparameter ergodic theorem is given in this paper. At the same time it is shown that two of the hypotheses of ...