ON THE FRACTAL NATURE OF EMPIRICAL INCREMENTS

• 成果类型: Article
• 署名作者: DEHEUVELS, P; MASON, DM
• 署名单位: University of Delaware
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176988390
• 发表日期: 1995
• 页码: 355-387
• 关键词: partial sums; approximation

摘要

We prove that the set of points where exceptional oscillations of empirical and related processes occur infinitely often is a random fractal, and evaluate its Hausdorff dimension.