Difference between revisions of "Every set in the Dynkin system generated by is also in the sigma-algebra generated by"

Revision as of 12:39, 17 December 2016

Suppose that [ilmath]\mathcal{A} [/ilmath] is a [ilmath]\sigma[/ilmath]-algebra [ilmath]\implies\mathcal{A} [/ilmath] is is both a Dynkin system and a [ilmath]p[/ilmath]-system

Proof that it is a [ilmath]d[/ilmath]-system:

Proof that it is a [ilmath]p[/ilmath]-system:

Revision as of 12:39, 17 December 2016 (view source) Alec (Talk \| contribs) m (Alec moved page A collection of subsets is a sigma-algebra iff it is a Dynkin system and closed under finite intersections/Proof to Every set in the Dynkin system generated by is also in the sigma-algebra generated by a system of sets without l...) ← Older edit	Revision as of 12:39, 17 December 2016 (view source) Alec (Talk \| contribs) m (Alec moved page Every set in the Dynkin system generated by is also in the sigma-algebra generated by a system of sets to Every set in the Dynkin system generated by is also in the sigma-algebra generated by without leaving a redirect: Shorteni...) Newer edit →
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