1971 / v + 31 pages / Softcover / ISBN: 978-0-898711-76-9 / List Price $37.00 / SIAM-CBMS Member Price $25.90 / Order Code CB05
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.
Weak Convergence; Random Elements and Convergence in Distribution; Prokhorov's Theorem; The Space C; A Maximal Inequality; Tightness; Limit Theorems.
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