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Adelaide Research and Scholarship
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Schools and Disciplines
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School of Mathematical Sciences
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Applied Mathematics
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Applied Mathematics Publications
Please use this identifier to cite or link to this item:
http://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, Anthony John
Cronin, A. |
| Citation: | Physica A, 1996; 233(3-4):867-878 |
| Publisher: | Elsevier |
| Issue Date: | 1996 |
| ISSN: | 0378-4371 |
| School/Discipline: | School of Mathematical Sciences : Applied Mathematics |
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 |
| Appears in Collections: | Applied Mathematics Publications
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| View citing articles in: | Google Scholar
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