Unbiased estimation of multi-fractal dimensions of finite data sets

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dc.contributor.authorRoberts, A.
dc.contributor.authorCronin, A.
dc.date.issued1996
dc.description.abstractWe 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.statementofresponsibilityA. J. Roberts and A. Cronin
dc.identifier.citationPhysica A: Statistical Mechanics and its Applications, 1996; 233(3-4):867-878
dc.identifier.doi10.1016/S0378-4371(96)00165-3
dc.identifier.issn0378-4371
dc.identifier.orcidRoberts, A. [0000-0001-8930-1552]
dc.identifier.urihttp://hdl.handle.net/2440/65431
dc.language.isoen
dc.publisherElsevier
dc.rightsCopyright © 1996 Published by Elsevier B.V.
dc.source.urihttps://doi.org/10.1016/s0378-4371(96)00165-3
dc.subjectFinite data sets
dc.subjectmulti-fractal spectrum
dc.subjectbinary multiplicative multi-fractal
dc.subjectgeneralized dimensions
dc.titleUnbiased estimation of multi-fractal dimensions of finite data sets
dc.typeJournal article
pubs.publication-statusPublished

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