On the fractal nature of empirical increments

DOI10.1214/aop/1176988390zbMath0835.60024OpenAlexW1991365442MaRDI QIDQ1897188

David M. Mason, Paul Deheuvels

Publication date: 17 September 1995

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176988390

zbMATH Keywords

empirical processesHausdorff dimensionfunctional laws of the iterated logarithmfractalsstrong lawstail and local empirical processes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (8)

On the fractal nature of increments of the infinite series of OU processes related to the Chung LIL ⋮ On the fractal nature of increments of \(l_p\)-valued Gaussian processes ⋮ On the Hausdorff dimension of exceptional random sets generated by multivariate spacings ⋮ The fractal nature of the functional law of logarithm of fractional Brownian motions ⋮ On the Hausdorff dimension of the set generated by exceptional oscillations of a two-parameter Wiener process ⋮ Functional laws of the iterated logarithm for small increments of empirical processes ⋮ Random fractals generated by oscillations of the uniform empirical process ⋮ Some results on increments of the partially observed empirical process

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