Ebook: Weak convergence of measures: applications in probability
Author: Patrick Billingsley
- Genre: Mathematics // Probability
- Series: CBMS-NSF Regional Conference Series in Applied Mathematics
- Year: 1987
- Publisher: Society for Industrial Mathematics
- City: New York
- Language: English
- djvu
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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