Weak convergence of bounded, monotone set functions in an abstract setting (Q1852358)
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scientific article; zbMATH DE number 1848826
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak convergence of bounded, monotone set functions in an abstract setting |
scientific article; zbMATH DE number 1848826 |
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Weak convergence of bounded, monotone set functions in an abstract setting (English)
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5 January 2003
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The authors study weak convergence of bounded monotone set functions and obtain several results that generalise classical theorems concerning weak convergence of measures, e.g., Portmanteau type theorems and Prokhorov's theorem. They also describe a suitable topology (called the Lévy-topology) that is useful to study the properties of weak convergence for abstract set functions.
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set function
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weak convergence
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Prokhorov theorem
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