A quasi-likelihood method for fractal-dimension estimation

We propose a simple method of constructing quasi-likelihood functions for dependent data based on conditional-mean–variance relationships, and apply the method to estimating the fractal dimension from box-counting data. Simulation studies were carried out to compare this method with the traditional...

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Bibliographic Details
Published in:Mathematics and computers in simulation 1999-06, Vol.48 (4), p.429-436
Main Authors: Wang, You-Gan, Lin, Yan-Xia, Haywood, M.D.E.
Format: Article
Language:English
Subjects:
Fractal dimension
Mean–variance relationship
Quasi-likelihood function
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Summary:We propose a simple method of constructing quasi-likelihood functions for dependent data based on conditional-mean–variance relationships, and apply the method to estimating the fractal dimension from box-counting data. Simulation studies were carried out to compare this method with the traditional methods. We also applied this technique to real data from fishing grounds in the Gulf of Carpentaria, Australia.
ISSN:0378-4754
1872-7166
DOI:10.1016/S0378-4754(99)00032-4