Estimation of moments of sums of independent real random variables

• 成果类型: Article
• 署名作者: Latala, R
• 署名单位: University of Warsaw
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1997
• 页码: 1502-1513
• 关键词: rademacher

摘要

For the sum S = Sigma X-i of a sequence (X-i) of independent symmetric (or nonnegative) random variables, we give lower and upper estimates of moments of S. The estimates are exact, up to some universal constants, and extend the previous results for particular types of variables X-i.