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A quasi-likelihood method for fractal-dimension estimation

Author

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  • Wang, You-Gan
  • Lin, Yan-Xia
  • Haywood, M.D.E.

Abstract

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.

Suggested Citation

  • Wang, You-Gan & Lin, Yan-Xia & Haywood, M.D.E., 1999. "A quasi-likelihood method for fractal-dimension estimation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 48(4), pages 429-436.
    • Handle: RePEc:eee:matcom:v:48:y:1999:i:4:p:429-436
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    References listed on IDEAS

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    1. Heyde, C. C., 1987. "On combining quasi-likelihood estimating functions," Stochastic Processes and their Applications, Elsevier, vol. 25, pages 281-287.
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