Berry-Esseen bounds and Edgeworth expansions in the central limit theorem for transport distances

• 成果类型: Article
• 署名作者: Bobkov, Sergey G.
• 署名单位: University of Minnesota System; University of Minnesota Twin Cities
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-017-0756-2
• 发表日期: 2018
• 页码: 229-262
• 关键词: minimal distances; constants

摘要

For sums of independent random variables , Berry-Esseen-type bounds are derived for the power transport distances in terms of Lyapunov coefficients . In the case of identically distributed summands, the rates of convergence are refined under Cram,r's condition.