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Complexities of information sources

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  • Yamin Sayyari
  • Mohammad Reza Molaei
  • Adel Mehrpooya

Abstract

Calculating the entropy for complex systems is a significant problem in science and engineering problems. However, this calculation is usually computationally expensive when the entropy is computed directly. This paper introduces three classes of information sources that for all members of each class, the entropy value is the same. These classes are characterized according to special dynamics created by three kinds of self-mappings on Ω, and A, where Ω is a probability space and A is a finite set. An approximation of rank variables of the product of information sources is made, and it is proved that the topological entropy of the product of two information sources is equal to the summation of their topological entropies.

Suggested Citation

  • Yamin Sayyari & Mohammad Reza Molaei & Adel Mehrpooya, 2023. "Complexities of information sources," Journal of Applied Statistics, Taylor & Francis Journals, vol. 50(15), pages 3125-3141, November.
    • Handle: RePEc:taf:japsta:v:50:y:2023:i:15:p:3125-3141
    DOI: 10.1080/02664763.2022.2101631
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