Talk:Lambda system

I have a sneaking suspicion that this is somehow related to Dynkin systems. Btyner 03:05, 6 August 2006 (UTC)

Isnt it somewhat trivial that pi and lambda implies sigma?? That fact has really Dinkin's name? 13 September 2006 (USF)
 * See Probability and Measure by Patrick Billingsley (John Wiley and Sons, New York, Toronto, London, 1979) Btyner 00:49, 23 September 2006 (UTC)

I am going to remove the following line: "Though not every λ-system is a σ-algebra, Dynkin's π-λ theorem states that any λ-system which is also a π-system is in fact a σ-algebra."

This is not in fact the statement of Dynkin's Thm.

I've made the change I said I would make. My edit lacks appropriate latex tags. For this I apologize for this and I welcome the changes.--128.186.24.40 03:38, 31 October 2006 (UTC)

I've replaced the old part of the page that was removed by a user in what appears to be semi-vandalism.--Gtg207u 02:59, 26 January 2007 (UTC)

I'm making a slight change to the wording on the bottom: changing "the same thing as" to "if and only if".--Gtg207u 10:40, 26 February 2007 (UTC)

I made that change and then finally(apparently it took me 4 months) made the appropriate tag changes.--Gtg207u 10:56, 26 February 2007 (UTC)

I deleted "A collection of sets in L is a λ-system if and only if it is a Dynkin system." as it is not true. A Lambda system isn't necessarily a Dynkin system, 18 August 2007

I am merging this with Dynkin system, as contrary to the above statement, there are texts (i.e. Allan Gut, Probability: A Graduate Course) stating the two are equivalent, and indeed a proof of this shall be given. Nm420 (talk) 00:47, 4 May 2008 (UTC)