Regularity of Irregularity: Testing for Monofractality by Multifractal Tools Academic Article

abstract

• Multifractality is a generalization of monofractality in which the regularity attribute has a distribution. Multifractals have become popular as flexible models in modeling real-life data of high frequency. We developed a method of testing whether the data of high frequency is consistent with monofractality using meaningful descriptors coming from a wavelet-generated multifractal spectrum. We discuss theoretical properties of the descriptors, their computational implementation, the use in data mining, the effectiveness in the context of simulations, an application in turbulence, and analysis of coding/noncoding regions in DNA sequences.

authors

• Vidakovic, Brani

published proceedings

• International Journal of Mathematics and Computer Science

author list (cited authors)

• Lee, K. S., Kim, J., & Vidakovic, B.

complete list of authors

• Lee, KS||Kim, J||Vidakovic, B

publication date

• January 2010

published in

• International Journal of Mathematics and Computer Science  Journal

keywords

• Bootstrapping
• DNA Sequence
• Holder Exponent
• Hurst Exponent
• Monofractality
• Multifractality
• Turbulence
• Wavelets

start page

• 65

end page

• 85

volume

• 5