POISSON POLYTOPES

• 成果类型: Article
• 署名作者: Barany, Imre; Reitzner, Matthias
• 署名单位: Hungarian Academy of Sciences; HUN-REN; HUN-REN Alfred Renyi Institute of Mathematics; University of London; University College London; University Osnabruck
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/09-AOP514
• 发表日期: 2010
• 页码: 1507-1531
• 关键词: CENTRAL LIMIT-THEOREMS; convex-bodies; approximation; hulls; functionals; points; body

摘要

We prove the central limit theorem for the volume and the f-vector of the Poisson random polytope Pi(eta) in a fixed convex polytope P subset of R(d) Here, Pi(eta) is the convex hull of the intersection of a Poisson process X of intensity eta with P