Unbiased estimation of multi-fractal dimensions of finite data sets
Date
1996
Authors
Roberts, A.
Cronin, A.
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Journal article
Citation
Physica A: Statistical Mechanics and its Applications, 1996; 233(3-4):867-878
Statement of Responsibility
A. J. Roberts and A. Cronin
Conference Name
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.
School/Discipline
Dissertation Note
Provenance
Description
Access Status
Rights
Copyright © 1996 Published by Elsevier B.V.