A zero-one law approach to the central limit theorem for the weighted bootstrap mean

• 成果类型: Article
• 署名作者: ArenalGutierrez, E; Matran, C
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1996
• 页码: 532-540
• 关键词: large numbers

摘要

We develop a new technique to prove the conditional CLT for the weighted bootstrap mean. Through 0-1 laws, we show that this conditional CLT can be derived from an unconditional one which easily arises (conditioning with respect to the weights) from the standard Lindeberg CLT.