Entropy estimation of symbol sequences
✍ Scribed by Schürmann, Thomas; Grassberger, Peter
- Book ID
- 120088101
- Publisher
- American Institute of Physics
- Year
- 1996
- Tongue
- English
- Weight
- 895 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1054-1500
- DOI
- 10.1063/1.166191
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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
Following Shannon we introduce higher order entropies and derive dynamic entropies. The nth order dynamic entropy (conditional entropy) is a measure of the uncertainty of the next state which follows after the observation of n foregoing states. The asymptotic behaviour of the dynamic entropies at la