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https://hdl.handle.net/2440/65431
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Type: | Journal article |
Title: | Unbiased estimation of multi-fractal dimensions of finite data sets |
Author: | Roberts, A. Cronin, A. |
Citation: | Physica A: Statistical Mechanics and its Applications, 1996; 233(3-4):867-878 |
Publisher: | Elsevier |
Issue Date: | 1996 |
ISSN: | 0378-4371 |
Statement of Responsibility: | A. J. Roberts and A. Cronin |
Abstract: | We present a novel method for determining multi-fractal properties from experimental data. It is based on maximizing the likelihood that the given finite data set comes from a particular set of parameters in a multi-parameter family of well known multi-fractals. By comparing characteristic correlations obtained from the original data with those that occur in artificially generated multi-fractals with the same number of data points, we expect that predicted multi-fractal properties are unbiased by the finiteness of the experimental data. |
Keywords: | Finite data sets multi-fractal spectrum binary multiplicative multi-fractal generalized dimensions |
Rights: | Copyright © 1996 Published by Elsevier B.V. |
DOI: | 10.1016/S0378-4371(96)00165-3 |
Published version: | http://dx.doi.org/10.1016/s0378-4371(96)00165-3 |
Appears in Collections: | Applied Mathematics publications Aurora harvest |
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