Characterization of residual σ-algebras
The behavior of residual σ-algebras is studied. For a probability space $(Ω, \mathfrak{F}, P)$ a new topology is introduced on the set $\mathfrak{F}$  of all σ-subalgebras. Necessary and sufficient conditions for the independence of events from the final σ-algebra are obtained in terms...
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| Date: | 1992 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8052 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |