A classification scheme for probability laws by tail behavior is proposed. It circumvents the smoothness conditions usually imposed on the probability laws by current classification schemes and yields ...

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 ...

This is a preview. Log in through your library . Abstract Von Mises defined a "physical" probability as a strict limit of the relative frequency of occurrence of an event in repeated trials. As a ...

The world is full of uncertainty: accidents, storms, unruly financial markets, noisy communications. The world is also full of data. Probabilistic modeling and the related field of statistical ...

“This retroactive idea. It has to be that,” says Nobel Prize-winning mathematical physicist Sir Roger Penrose, reflecting on a problem about the building blocks of reality that has dogged physics for ...