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Family of Distributions Derived from Whittaker Function

Author

Listed:
  • Maha A. Omair

    (Department of Statistics and Operations Research, College of Sciences, King Saud University, Riyadh 145111, Saudi Arabia)

  • Yusra A. Tashkandy

    (Department of Statistics and Operations Research, College of Sciences, King Saud University, Riyadh 145111, Saudi Arabia)

  • Sameh Askar

    (Department of Statistics and Operations Research, College of Sciences, King Saud University, Riyadh 145111, Saudi Arabia)

  • Abdulhamid A. Alzaid

    (Department of Statistics and Operations Research, College of Sciences, King Saud University, Riyadh 145111, Saudi Arabia)

Abstract

In this paper, we introduce a general family of distributions based on Whittaker function. The properties of obtained distributions, moments, ordering, percentiles, and unimodality are studied. The distributions’ parameters are estimated using methods of moments and maximum likelihood. Furthermore, a generalization of Whittaker distribution that contains a wider class of distributions is developed. Validation of the obtained results is applied to real life data containing four data sets.

Suggested Citation

  • Maha A. Omair & Yusra A. Tashkandy & Sameh Askar & Abdulhamid A. Alzaid, 2022. "Family of Distributions Derived from Whittaker Function," Mathematics, MDPI, vol. 10(7), pages 1-23, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1058-:d:779645
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    References listed on IDEAS

    as
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