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A. Gut, “Gnedenko-Raikov’s Theorem, Central Limit Theory, and the Weak Law of Large Numbers,” Statistics and Probability Letters, Vol. 76, No. 17, 2006, pp. 1935-1939. doi:10.1016/j.spl.2006.04.042

has been cited by the following article:

• TITLE: Gnedenko-Raikov’s Theorem Fails for Exchangeable Sequences

  AUTHORS: George Stoica, Deli Li

  KEYWORDS: Exchangeable Sequences; Central Limit Theorem; Weak Law of Large Numbers

  JOURNAL NAME: Applied Mathematics, Vol.3 No.12A, January 14, 2013

  ABSTRACT: 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.