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SCRA 2002-FIM IX: Ninth International Conference of Forum for Interdisciplinary Mathematics on Statistics Combinatorics and Related Areas
December 21-23, 2002
Department of Statistics and Department of Mathematics: University of Allahabad
Allahabad, UP, India

Organizers
Satya Mishra, Anoop Chaturvedi, Bhu Dev Sharma

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Sample fractal dimension as an estimator of fractal dimension
by
Amitabha Chanda
Indian Statistical Institute, 203, B T Road, Kolkata 700 108

It is observed that in case of a monofractal object sample fractal dimension may be equal to tthe fractal dimension of the object. For example in the case of an irregular curve which is monofractal in nature the fractal dimension of any section of the curve is equal to the fractal dimension of the curve. But otherwise, when the curve is of multifractal nature the segments of the curve may show different fractal and multifractal dimensions. In the present paper the distribution of fractal dimensions of the sample segments is discussed.

Date received: December 10, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakd-64.