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|Title:||Unbiased estimation of multi-fractal dimensions of finite data sets|
|Citation:||Physica A, 1996; 233(3-4):867-878|
|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.|
|Appears in Collections:||Applied Mathematics publications|
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