Gnedenko-Raikov’s Theorem Fails for Exchangeable Sequences

Gnedenko-Raikov’s Theorem Fails for Exchangeable Sequences

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摘要 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. 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.

作者 George Stoica Deli Li

机构地区 Department of Mathematical Sciences Department of Mathematical Sciences

出处《Applied Mathematics》 2012年第12期2019-2021,共3页 应用数学（英文）

关键词 Exchangeable SEQUENCES Central LIMIT THEOREM WEAK LAW of Large NUMBERS Exchangeable Sequences Central Limit Theorem Weak Law of Large Numbers

分类号 O1 [理学—基础数学]

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Applied Mathematics

2012年第12期

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Gnedenko-Raikov’s Theorem Fails for Exchangeable Sequences

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