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1 article for “Exchangeable sequences”

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Research ArticleOpen accessPhrase in the titleComplete Convergence of Exchangeable SequencesGeorge StoicaWe prove that exchangeable sequences converge completely in the Baum-Katz sense under the same conditions as i.i.d. sequences do. Problem statement: The research was needed as the rate of convergence in the law of large numbers for exchangeable sequences was previously obtained under restricted hypotheses. Approach: We applied powerful techniques involving inequalities for independent sequences of random variables. Results: We … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,741 accessesView PDFCite