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Entropy of Some Discrete Distributions

Author

Listed:
  • Kosto Mitov

    (Medical University of Pleven)

  • Saralees Nadarajah

    (University of Manchester)

Abstract

Cheraghchi [IEEE Transactions on Information Theory, 65, 2019, 3999-4009] derived expressions for the entropy for some basic discrete distributions. Not all of the expressions provided were in closed form. In this note, we derive closed form expressions for the entropy for more than ten flexible classes of distributions. The correctness of the expressions is checked numerically.

Suggested Citation

  • Kosto Mitov & Saralees Nadarajah, 2023. "Entropy of Some Discrete Distributions," Methodology and Computing in Applied Probability, Springer, vol. 25(1), pages 1-19, March.
    • Handle: RePEc:spr:metcap:v:25:y:2023:i:1:d:10.1007_s11009-023-09978-1
    DOI: 10.1007/s11009-023-09978-1
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    References listed on IDEAS

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    1. Tomasz Kozubowski & Seidu Inusah, 2006. "A Skew Laplace Distribution on Integers," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(3), pages 555-571, September.
    2. Abdulhakim A Al-Babtain & Ibrahim Elbatal & Christophe Chesneau & Mohammed Elgarhy, 2021. "Estimation of different types of entropies for the Kumaraswamy distribution," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-21, March.
    Full references (including those not matched with items on IDEAS)

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