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https://hdl.handle.net/2440/65431
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dc.contributor.author | Roberts, A. | - |
dc.contributor.author | Cronin, A. | - |
dc.date.issued | 1996 | - |
dc.identifier.citation | Physica A: Statistical Mechanics and its Applications, 1996; 233(3-4):867-878 | - |
dc.identifier.issn | 0378-4371 | - |
dc.identifier.uri | http://hdl.handle.net/2440/65431 | - |
dc.description.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. | - |
dc.description.statementofresponsibility | A. J. Roberts and A. Cronin | - |
dc.language.iso | en | - |
dc.publisher | Elsevier | - |
dc.rights | Copyright © 1996 Published by Elsevier B.V. | - |
dc.source.uri | http://dx.doi.org/10.1016/s0378-4371(96)00165-3 | - |
dc.subject | Finite data sets | - |
dc.subject | multi-fractal spectrum | - |
dc.subject | binary multiplicative multi-fractal | - |
dc.subject | generalized dimensions | - |
dc.title | Unbiased estimation of multi-fractal dimensions of finite data sets | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1016/S0378-4371(96)00165-3 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Roberts, A. [0000-0001-8930-1552] | - |
Appears in Collections: | Applied Mathematics publications Aurora harvest |
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