Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156007 | Stochastic Processes and their Applications | 2010 | 10 Pages |
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
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Douglas Blount, Michael A. Kouritzin,