Weak Convergence of Measures Christopher A. Rollston DeMaria discovers in one extraordinary

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Weak Convergence of Measures Christopher A. Rollston DeMaria discovers in one extraordinaryA 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.