Crimaldi, Irene and Letta, Giorgio and Pratelli, Luca Sur l'interversion de l'ordre entre deux opérations sur les tribus. Comptes rendus mathématique, 345 (6). pp. 341-344. ISSN 1631-073X (2007)
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Official URL: http://dx.doi.org/10.1016/j.crma.2007.07.020
Abstract
We characterize the measurable spaces (Ω,A) such that, for each sub-σ-field G of A and each decreasing filtered family (F_t) of sub-σ-fields of A, with F_t ↓ F_∞, we have F_t ∨ G ↓ F_∞ ∨ G. It follows a characterization of the probability spaces (Ω, A, P) such that, for each sub-σ-field G of A and each decreasing sequence (F_n) of sub-σ-fields of A, with F_n ↓ F_∞, we have ⋂_n (F_n ∨ G) ∼ F_∞ ∨ G (mod P).
| Item Type: | Article |
|---|---|
| Identification Number: | https://doi.org/10.1016/j.crma.2007.07.020 |
| Subjects: | H Social Sciences > HA Statistics Q Science > QA Mathematics |
| Research Area: | Economics and Institutional Change |
| Depositing User: | Irene Crimaldi |
| Date Deposited: | 31 Oct 2011 14:19 |
| Last Modified: | 18 Jan 2012 08:01 |
| URI: | http://eprints.imtlucca.it/id/eprint/984 |
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