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.