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...
Збережено в:
| Дата: | 1992 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1992
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8052 |
| Теги: |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | 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 of mixing. |
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