Weak Convergence of Measures: Applications in Probability
Jan 1971 · CBMS-NSF Regional Conference Series in Applied Mathematics Book 5 · SIAM
Ebook
37
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About this ebook
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.
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