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• A collection of subsets is a sigma-algebra iff it is a Dynkin system and closed under finite intersections
  ...s a {{sigma|algebra}} {{M|\iff}} it is both a {{M|p}}-system and a {{M|d}}-system}} ...m]]) and {{M|\cap}}-closed (which is sometimes called a [[p-system|{{M|p}}-system]]<ref name="PAS"/>).
  1 KB (239 words) - 13:21, 17 December 2016

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• Types of set algebras
  {{Refactor notice|grade=A|msg=This page is currently being refactored after being unchanged for more than 14 months. t {{Extra Maths}}In this table the class of sets {{M|\mathcal{A} }} is a collection of subsets from another set {{M|\Omega}}
  3 KB (449 words) - 20:06, 19 August 2016
• Site projects:Patrolling measure theory/Task list
  * [[D-system]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 01:54, 19 March 2 * [[Dynkin system]] '''DONE''' [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 01:54, 19 March 2
  5 KB (645 words) - 11:40, 21 August 2016
• Dynkin system generated by
  {{Refactor notice|grade=A|msg=Working on it! ...e intersection of an arbitrary family of Dynkin systems is itself a Dynkin system]] to the mix}}
  2 KB (245 words) - 15:16, 16 December 2016
• Dynkin system
  ...tem"<ref>Probability and Stochastics - Erhan Cinlar</ref> and the page [[d-system]] just redirects here. ===[[Dynkin system/Definition 1|First Definition]]===
  1 KB (184 words) - 01:54, 19 March 2016
• Conditions for a Dynkin system to be a sigma-algebra
  ...onditions for a [[Dynkin system]] (also called a {{M|d}}-system) to be a [[Sigma-algebra|{{sigma|algebra}}]] ...nd only if'' it is {{M|\cap}}-closed (which is to say it is also a {{M|p}}-system)]]<ref name="MIM">Measures, Integrals and Martingales</ref><ref name="PAS">
  782 B (123 words) - 22:56, 2 August 2015
• Conditions for a generated Dynkin system to be a sigma-algebra
  If {{M|\mathcal{G}\subseteq\mathcal{P}(X)}} is {{M|\cap}}-closed then<ref name="MIM">Measures, Integrals and Martingales - * {{M|\delta(\mathcal{G})}} denotes the [[Dynkin system generated by|Dynkin system generated by {{M|\mathcal{G} }}]] and
  660 B (97 words) - 14:47, 27 July 2015
• D-system
  #REDIRECT [[Dynkin system]] A ''{{M|d}}-system'' is another name for a [[Dynkin system]]<ref name="PAS">Probability and Stochastics - Erhan Cinlar</ref>
  538 B (84 words) - 15:32, 28 August 2015
• A collection of subsets is a sigma-algebra iff it is a Dynkin system and closed under finite intersections
  ...s a {{sigma|algebra}} {{M|\iff}} it is both a {{M|p}}-system and a {{M|d}}-system}} ...m]]) and {{M|\cap}}-closed (which is sometimes called a [[p-system|{{M|p}}-system]]<ref name="PAS"/>).
  1 KB (239 words) - 13:21, 17 December 2016
• P-system
  {{DISPLAYTITLE:{{M|p}}-system}} ...(X)}} where it is closed under finite intersections<ref name="PAS"/>, that is to say:
  960 B (158 words) - 15:43, 28 August 2015
• Types of set algebras/Type table
  :: '''This page is a sub-page, if you have come here from a search engine you want to go to [[types of set algebras]]''' ! System Type
  4 KB (573 words) - 20:00, 19 August 2016