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Book Synopsis
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 of Measures Applications in Probability CBMSNSF Regional Conference Series in Applied Mathematics Series Number 5

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      View other formats and editions of Weak Convergence of Measures Applications in Probability CBMSNSF Regional Conference Series in Applied Mathematics Series Number 5 by Patrick Billingsley

      Publisher: Society for Industrial and Applied Mathematics
      Publication Date: Publication Date:
      ISBN13: 9780898711769, 978-0898711769
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      Description

      Book Synopsis
      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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