PlanetMath (more info)
 Math for the people, by the people. Sponsor PlanetMath
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Owner confidence rating: High Entry average rating: Very high
uniformly integrable (Definition)
UniformIntegrability

Anyone with an account can edit this entry. Please help improve it!

"uniformly integrable" is owned by stevecheng. [ full author list (5) ]
(view preamble | get metadata)

View style:

See Also: Vitali convergence theorem, conditional expectations are uniformly integrable

Other names:  uniform integrability, uniform absolute continuity

Attachments:
conditional expectations are uniformly integrable (Theorem) by gel
equivalent conditions for uniform integrability (Theorem) by gel
preservation of uniform integrability (Theorem) by gel
Log in to rate this entry.
(view current ratings)

Cross-references: increasing, unbounded, conditional expectations, probability space, random variable, measurable functions, integrable, dominated convergence theorem, almost everywhere, union, number, finite, bounded, equivalent, probability measure, stronger, Vitali convergence theorem, integral sign, integral, absolute value, functions, collection, measurable space, positive measure
There are 10 references to this entry.

This is version 19 of uniformly integrable, born on 2005-07-07, modified 2008-12-30.
Object id is 7211, canonical name is UniformlyIntegrable.
Accessed 11169 times total.

Classification:
AMS MSC28A20 (Measure and integration :: Classical measure theory :: Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence)

Pending Errata and Addenda
None.
[ View all 1 ]
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | add derivation | add example | add (any)