On convergence determining and separating classes of functions

Douglas Blount and Michael A. Kouritzin

Stochastic Processes and their Applications, 2010, vol. 120, issue 10, 1898-1907

Abstract: Herein, we generalize and extend some standard results on the separation and convergence of probability measures. We use homeomorphism-based methods and work on incomplete metric spaces, Skorokhod spaces, Lusin spaces or general topological spaces. Our contributions are twofold: we dramatically simplify the proofs of several basic results in weak convergence theory and, concurrently, extend these results to apply more immediately in a number of settings, including on Lusin spaces.

Keywords: Probability; measures; Homeomorphism; Weak; convergence; Skorokhod; topology; Lusin; spaces (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (4)

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