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Weak Convergence of Measures: Applications in ProbabilityWeak Convergence of Measures: Applications in Probability

Patrick Billingsley

CBMS-NSF Regional Conference Series in Applied Mathematics 5

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.

1971 / v + 31 pages / Softcover / ISBN-13: 978-0-898711-76-9 / ISBN-10: 0-89871-176-2 /
List Price $35.00 / SIAM/CBMS Member Price $24.50 / Order Code CB05
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