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In this paper biological sequences are modelled by stationary ergodic sequences. A new family of statistical tests to characterize the randomness of the inputs is proposed and analyzed. Tests for independence and for the determination of the appropriate order of a Markov chain are constructed with the Chaos Game Representation (CGR), and applied to several genomes.
Keywords: Chaos game representation; iterated function system; Pearson’s Chi2 test; structure of sequences; martingale
Published Online: 2005-9-21
©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston