Poisson approximation for expectations of unbounded functions of independent random variables

• 成果类型: Article
• 署名作者: Borisov, IS; Ruzankin, PS
• 署名单位: Russian Academy of Sciences; Sobolev Institute of Mathematics
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2002
• 页码: 1657-1680
• 关键词: semigroup approach

摘要

Under minimal moment conditions complete asymptotic. expansions are obtained for expectations of unbounded functions of a finite family of independent random variables in the Poissonian setting when the distributions of the random variables have large atoms at zero.