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 methods. We also applied this technique to real data from fishing grounds in the Gulf of Carpentaria, Australia. (C) 1999 IMACS/Elsevier Science B.V. All rights reserved.
quasi-likelihood function fractal dimension mean-variance relationship