For a given transition rate, i.e., a Q-matrix Q = (qij) on a countable state space, the uniqueness of the Q-semigroup P(t) = (pij(t)), the recurrence and the positive recurrence of the corresponding ...

Classical probability theory assumes an equal likelihood for all outcomes. For example, if you were to flip a coin, there's an equal change of it landing on "heads" or "tails." Microsoft Excel offers ...

This is a preview. Log in through your library . Abstract We show that the stochastic versions of some classical problems in combinatorial optimization may be imbedded in multiparameter subadditive ...

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

In school, we are trained to think that math problems always have one correct answer. But this is not necessarily true for problems dealing with probability, if the method used to reach the described ...