%0 Journal Article %T Gnedenko-Raikov¡¯s Theorem Fails for Exchangeable Sequences %A George Stoica %A Deli Li %J Applied Mathematics %P 2019-2021 %@ 2152-7393 %D 2012 %I Scientific Research Publishing %R 10.4236/am.2012.312A277 %X

We study the connection between the central limit theorem and law of large numbers for exchangeable sequences, and provide a counterexample to the Gnedenko-Raikov theorem for such sequences.

%K Exchangeable Sequences %K Central Limit Theorem %K Weak Law of Large Numbers %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=26547