Weak Convergence of Measures Applications in Probability

A treatment of the convergence of probability measures from the foundations to applications in limit theory for dependent random variables. Mapping theorems are proved via Skorokhod's representation theorem; Prokhorov's theorem is proved by construction of a content. The limit theorems at the conclusion are proved under a new set of conditions that apply fairly broadly, but at the same time make possible relatively simple proofs.Billingsley, Patrick is the author of 'Weak Convergence of Measures Applications in Probability', published 1971 under ISBN 9780898711769 and ISBN 0898711762.