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Hello! If you leave a message for me here, then I will reply here, hence please "watch" this page! --GaborPete (talk)

FKG inequality / Korrelationsungleichung

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Hi, for your interest: I've translated your article on FKG inequality for the german Wikipedia:de:Korrelationsungleichung (google translation is of no use). Thanks for your work. By the way: Do you use "positive function" in the sense of or ? Greetings, --Erzbischof (talk) 13:21, 30 March 2009 (UTC)[reply]

Thanks for letting me know! I'm planning to improve a bit further soon, so you should watch that page. --GaborPete (talk) 06:41, 3 April 2009 (UTC)[reply]
"Positive function" has of course one meaning: . The article should say "nonnegative", that would be more natural. Thanks for noticing this. --GaborPete (talk) 06:41, 3 April 2009 (UTC)[reply]
I think in proofs using Markov-Chain-tecniques positivity of the measure is needed for uniqueness of the stationary distribution. I added the article "FKG inequality" to my watch list. --Erzbischof (talk) 11:40, 4 April 2009 (UTC) PS: Ah! I assume in english tradition it is "positive ", in french tradition "positif " and as germany is influenced by both countries, both are valid definitions if made clear in the text.[reply]
You are right, if \mu is not strictly positive, then the proof needs a little care, but not much. One can take the elements of the lattice where \mu is strictly positive. Because of the lattice condition, this subset is again a distributive lattice. (In particular, the minimal and maximal elements are in there.) Then one should do the coupling proof just inside this sub-lattice. I will make these things clear in the article soon. I'm also planning to write out the proofs properly. --GaborPete (talk) 18:37, 4 April 2009 (UTC)[reply]
And thanks for the info on "postif": I knew that some Americans think that \N doesn't include 0, and they say that only the French think it does, but I didn't know about zero being positif. In Hungary, 0\in\N, but it's not positive. --GaborPete (talk) 18:37, 4 April 2009 (UTC)[reply]

substitution-permutation networks

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Have you seen User talk:68.0.124.33#Substitution-permutation networks? --68.0.124.33 (talk) 23:33, 18 April 2009 (UTC)[reply]

Yes, and replied there. --GaborPete (talk) 05:30, 21 April 2009 (UTC)[reply]

Lévy's convergence theorem

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I have left some discussion of your prod at Talk:Lévy's convergence theorem, but I haven't (yet) removed the prod template. I have also left a request for help at Wikipedia talk:WikiProject Statistics to see if someone can provide better information. Melcombe (talk) 17:45, 10 November 2010 (UTC)[reply]

I replied to everything at the article. Regarding help, khm, this isn't statistics, but probability, which belongs to mathematics... OK, I'm half joking, half snobbish: there might be more people at the statistics project than at the math project who read probability books. So, thanks! --GaborPete (talk) 03:54, 11 November 2010 (UTC)[reply]

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