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)

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: | 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 |

### Actions (login required)

Edit Item |