Open Access
January, 1995 On the Fractal Nature of Empirical Increments
Paul Deheuvels, David M. Mason
Ann. Probab. 23(1): 355-387 (January, 1995). DOI: 10.1214/aop/1176988390

Abstract

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.

Citation

Download Citation

Paul Deheuvels. David M. Mason. "On the Fractal Nature of Empirical Increments." Ann. Probab. 23 (1) 355 - 387, January, 1995. https://doi.org/10.1214/aop/1176988390

Information

Published: January, 1995
First available in Project Euclid: 19 April 2007

zbMATH: 0835.60024
MathSciNet: MR1330774
Digital Object Identifier: 10.1214/aop/1176988390

Subjects:
Primary: 60F06
Secondary: 60F15

Keywords: Empirical processes , Fractals , Functional laws of the iterated logarithm , strong laws , tail and local empirical processes

Rights: Copyright © 1995 Institute of Mathematical Statistics

Vol.23 • No. 1 • January, 1995
Back to Top