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On the Extreme Value H -Function

Author

Listed:
  • Pushpa Narayan Rathie

    (Department of Statistics, University of Brasilia, Brasília 70.910-900, Brazil)

  • Luan Carlos de Sena Monteiro Ozelim

    (Department of Civil and Environmental Engineering, University of Brasilia, Brasília 70.910-900, Brazil)

  • Felipe Quintino

    (Department of Statistics, University of Brasilia, Brasília 70.910-900, Brazil)

  • Tiago A. da Fonseca

    (Gama Engineering College, University of Brasilia, Brasília 72.444-240, Brazil)

Abstract

In the present paper, a new special function, the so-called extreme value H -function, is introduced. This new function, which is a generalization of the H-function with a particular set of parameters, appears while dealing with products and quotients of a wide class of extreme value random variables. Some properties, special cases and a series representation are provided. Some statistical applications are also briefly discussed.

Suggested Citation

  • Pushpa Narayan Rathie & Luan Carlos de Sena Monteiro Ozelim & Felipe Quintino & Tiago A. da Fonseca, 2023. "On the Extreme Value H -Function," Stats, MDPI, vol. 6(3), pages 1-10, August.
    • Handle: RePEc:gam:jstats:v:6:y:2023:i:3:p:51-811:d:1210389
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    References listed on IDEAS

    as
    1. Dumitru Baleanu & Praveen Agarwal, 2014. "On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, April.
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