Characterization of set-valued conditional expectation
β Scribed by M. Zohry
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 117 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
For an essentially bounded closedβconvexβnonempty setβvalued random variable, it is shown that the conditional expectation is characterized by its integrals over the sets of the associated Ο βfield. (Β© 2006 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
ON AXIOMS OF CONDITIONAL SET EXISTENCE1) by HAO WANU in Cambridge, Mass. (U.S.A.) ## 1. Outline of arguments I n what follows, the (restricted) predicate calculus with equality is assumed throughout. Let ( U ! u ) H u be short for (w) ( u ) ((Hw A H u ) 13 w = u ) , ( E ! y ) H y be short for (Ey)
## Abstract __Background__: Setting priorities for research using economic in addition to scientific criteria can ensure that resources are spent efficiently and equitably. __Objective__: This study applies two priority setting methods βpaybackβ and expected value of information (EVI) to two resea
A necessary and sufficient condition on a sequence n nβN of Ο-subalgebras that assures L p -convergence of the conditional expectations is given. This result generalizes the L p -martingales, the Fetter and the Boylan (equiconvergence) theorems.