I am first enlightened by the Theorem 10.3 from Sheldon Ross's Book \textit{Introduction to probability models} which states that for $M(t) = \max\limits_{0\leq y ...

Late in a no-limit Texas Hold’em tournament, two players see a flop. No cards are revealed, but one player makes a large bet—much larger than the pot itself. The other player must now decide whether ...

The idea of conditional probability can be used to provide a general representation of a joint distribution as a product, but a more complicated product than arises with an iid vector. As one would ...

Abstract: Leveraging an algebraic approach built on minimal realizations and conditional expectations in quantum probability, we propose a method to reduce the dimension of quantum filters in discrete ...