If substitutions in DNA sequences follow a Poisson process, the ratio of the variance in the number of substitutions to the mean number of substitutions (the index of dispersion) should equal 1. In this paper, the robustness of the commonly applied estimator of the index of dispersion in replacement
โฆ LIBER โฆ
The Index of Sturmian Sequences
โ Scribed by David Damanik; Daniel Lenz
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 86 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0195-6698
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โฆ Synopsis
We consider Sturmian sequences and provide an explicit formula for the index of such a sequence in terms of the continued fraction expansion coefficients of its slope.
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The Shannon entropy is a standard measure for the order state of symbol sequences, such as, for example, DNA sequences. In order to incorporate correlations between symbols, the entropy of n-mers (consecutive strands of n symbols) has to be determined. Here, an assay is presented to estimate such hi