A maximum likelihood estimate for two-variable fractal surface.
basic_science · Level V
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- Record sourced from PubMed, PMID 18276244.
- Also identified by DOI 10.1109/83.730389.
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Abstract
The fractal dimension estimate for two-variable fractional Brownian motion using the maximum likelihood estimate (MLE) is developed. We formulate a model to describe the two-variable fractional Brownian motion, then derive the likelihood function for that model and estimate the fractal dimension by maximizing the likelihood function. We then compare the MLE with the box-dimension estimation method.