Local limit theorems for finite and infinite urn models

• 成果类型: Article
• 署名作者: Hwang, Hsien-Kuei; Janson, Svante
• 署名单位: Academia Sinica - Taiwan; Uppsala University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/07-AOP350
• 发表日期: 2008
• 页码: 992-1022
• 关键词: Approximation; distinctness; occupancy

摘要

Local limit theorems are derived for the number of occupied urns in general finite and infinite urn models under the minimum condition that the variance tends to infinity. Our results represent an optimal improvement over previous ones for normal approximation.