On the Hausdorff Dimension of the Set Generated by Exceptional Oscillations of a Two-Parameter Wiener Process-Reference-Cited by-同舟云学术

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On the Hausdorff Dimension of the Set Generated by Exceptional Oscillations of a Two-Parameter Wiener Process

Published:2001-10 Issue:1 Volume:79 Page:52-70
ISSN:0047-259X
Container-title:Journal of Multivariate Analysis
language:en
Short-container-title:Journal of Multivariate Analysis

Author:

Dindar Zacharie

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Numerical Analysis,Statistics and Probability

Reference16 articles.

1. Strong Approximations in Probability and Statistics;Csörgő,1981

2. P. Deheuvels, Hausdorff Dimensions of Exceptional Sets Generated by Oscillations of Multi-indexed Processes, Technical report.

3. On the fractal nature of empirical increments;Deheuvels;Ann. of Probab.,1995

4. The Geometry of Fractals Sets;Falconer,1985

5. K. J. Falconer, Fractal Geometry. Mathematical Foundations and Applications, Wiley, New York.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Recent Developments on Fractal Properties of Gaussian Random Fields;Further Developments in Fractals and Related Fields;2013

2. Random fractals generated by a local Gaussian process indexed by a class of functions;ESAIM: Probability and Statistics;2011

3. Hausdorff dimension of set generated by exceptional oscillations of a class of N-parameter Gaussian processes;Applied Mathematics and Mechanics;2007-02

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