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

FKG inequality / Korrelationsungleichung

edit

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

edit

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

edit

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

Hi. We're into the last five days of the Women in Red World Contest. There's a new bonus prize of $200 worth of books of your choice to win for creating the most new women biographies between 0:00 on the 26th and 23:59 on 30th November. If you've been contributing to the contest, thank you for your support, we've produced over 2000 articles. If you haven't contributed yet, we would appreciate you taking the time to add entries to our articles achievements list by the end of the month. Thank you, and if participating, good luck with the finale!