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α-stable laws for noncoding regions in DNA sequences

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  • N. Crato
  • R. R. Linhares
  • S. R.C. Lopes

Abstract

In this work, we analyze the long-range dependence parameter for a nucleotide sequence in several different transformations. The long-range dependence parameter is estimated by the approximated maximum likelihood method, by a novel estimator based on the spectral envelope theory, by a regression method based on the periodogram function, and also by the detrended fluctuation analysis method. We study the length distribution of coding and noncoding regions for all Homo sapiens chromosomes available from the European Bioinformatics Institute. The parameter of the tail rate decay is estimated by the Hill estimator ˆα. We show that the tail rate decay is greater than 2 for coding regions, while for almost all noncoding regions it is less than 2.

Suggested Citation

  • N. Crato & R. R. Linhares & S. R.C. Lopes, 2011. "α-stable laws for noncoding regions in DNA sequences," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(2), pages 261-271, September.
    • Handle: RePEc:taf:japsta:v:38:y:2011:i:2:p:261-271
    DOI: 10.1080/02664760903406447
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    References listed on IDEAS

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    1. Lopes, S.R.C. & Nunes, M.A., 2006. "Long memory analysis in DNA sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(2), pages 569-588.
    2. Podobnik, Boris & Shao, Jia & Dokholyan, Nikolay V. & Zlatic, Vinko & Eugene Stanley, H. & Grosse, Ivo, 2007. "Similarity and dissimilarity in correlations of genomic DNA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 497-502.
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