Weak convergence of measures: applications in probability

Weak convergence of measures: applications in probability

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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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Data sheet

Name of the Author
Patrick Billingsley
Language
English
Series
CBMS-NSF Regional Conference Series in Applied Mathematics
ISBN
9780898711769
Release date
1987

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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 ...

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