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SOME MEASURES INFORMATION FOR GENERALIZED AND q-GENERALIZED EXTREME VALUES AND ITS PROPERTIES

Author

Listed:
  • ESRAA OSAMA ABO ZAID

    (Department of Mathematics and Computer Science, Faculty of Science, Suez University, Suez, Egypt)

  • RASHA ABD EL-WAHAB ATTWA

    (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt)

  • TAHA RADWAN

    (Department of Mathematics, College of Science and Arts, Qassim University, Ar-Rass, Saudi Arabia4Department of Mathematics and Statistics, Faculty of Management Technology and Information Systems, Port Said University, Port Said, Egypt)

Abstract

Asymmetrical models like the generalized and q-generalized extreme value distributions have been widely used to describe a variety of random events observed in studies including survival, finance, and dependability. The q-analogues, with the extra parameter q, provide for more modelling freedom. In this paper, Shannon entropy, Varentropy and Varexentropy measures are computed in closed form in cases of generalized and q-generalized extreme value distributions. Maximum likelihood estimation method is applied for computing the values of Shannon entropy, Varentropy and Varexentropy measures.

Suggested Citation

  • Esraa Osama Abo Zaid & Rasha Abd El-Wahab Attwa & Taha Radwan, 2022. "SOME MEASURES INFORMATION FOR GENERALIZED AND q-GENERALIZED EXTREME VALUES AND ITS PROPERTIES," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(10), pages 1-14, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x22402460
    DOI: 10.1142/S0218348X22402460
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