Conditions for a Dynkin system to be a sigma-algebra
From Maths
Revision as of 14:43, 27 July 2015 by Alec (Talk | contribs) (Created page with "==Statement== A Dynkin system {{M|\mathcal{D} }} is a algebra}} ''if and only if''<ref name="MIM">Measures, Integrals and Martingales</ref> it is...")
Contents
[hide]Statement
A Dynkin system D is a \sigma-algebra if and only if[1] it is \cap-closed[Note 1]
Proof
TODO: Easy enough, see p33 of [1] if stuck
Notes
- Jump up ↑ Recall this means "closed under finite intersections"
References
- ↑ Jump up to: 1.0 1.1 Measures, Integrals and Martingales