Gnedenko-Raikov’s Theorem Fails for Exchangeable Sequences - Applied Mathematics

AM > Vol.3 No.12, December 2012

Gnedenko-Raikov’s Theorem Fails for Exchangeable Sequences ()

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DOI: 10.4236/am.2012.312A277 4,960 Downloads 7,511 Views

Author(s)

George Stoica, Deli Li

Affiliation(s)

Department of Mathematical Sciences, Lakehead University, Thunder Bay, Canada.
Department of Mathematical Sciences, University of New Brunswick, Saint John, Canada.

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.

KEYWORDS

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

Share and Cite:

G. Stoica and D. Li, "Gnedenko-Raikov’s Theorem Fails for Exchangeable Sequences," Applied Mathematics, Vol. 3 No. 12A, 2012, pp. 2019-2021. doi: 10.4236/am.2012.312A277.

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