Gnedenko-Raikov’s Theorem Fails for Exchangeable Sequences

• 作者: Deli Li George Stoica
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Exchangeable SEQUENCES Central LIMIT THEOREM WEAK LAW of Large NUMBERS
• 年，卷（期）: 2012,（12）
• 页码范围: 2019-2021
• 页数: 3页
• 分类号: O1

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.