Large deviations of combinatorial distributions II. Local limit theorems

• 成果类型: Article
• 署名作者: Hwang, HK
• 署名单位: Academia Sinica - Taiwan
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 1998
• 页码: 163-181
• 关键词: generating-functions; random-variables; coefficients; statistics; components; POWERS; number

摘要

We derive a general local limit theorem for probabilities of large deviations for a sequence of random variables by means of the saddlepoint method on Laplace-type integrals. This result is applicable to parameters in a number of combinatorial structures and the distribution of additive arithmetical functions.