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Extended Gumbel Type‐2 Distribution: Properties and Applications

Author

Listed:
  • A. A. Ogunde
  • S. T. Fayose
  • B. Ajayi
  • D. O. Omosigho

Abstract

In this paper, we proposed a new four‐parameter Extended Gumbel type‐2 distribution which can further be split into the Lehman type I and type II Gumbel type‐2 distribution by using a generalized exponentiated G distribution. The distributional properties of the proposed distribution have been studied. We derive the pth moment; thus, we generalize some results in the literature. Expressions for the density, moment‐generating function, and rth moment of the order statistics are also obtained. We discuss estimation of the parameters by maximum likelihood and provide the information matrix of the developed distribution. Two life data, which consist of data on cancer remission times and survival times of pigs, were used to show the applicability of the Extended Gumbel type‐2 distribution in modelling real life data, and we found out that the new model is more flexible than its submodels.

Suggested Citation

  • A. A. Ogunde & S. T. Fayose & B. Ajayi & D. O. Omosigho, 2020. "Extended Gumbel Type‐2 Distribution: Properties and Applications," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnljam:v:2020:y:2020:i:1:n:2798327
    DOI: 10.1155/2020/2798327
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    References listed on IDEAS

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    1. I. E. Okorie & A. C. Akpanta & J. Ohakwe, 2016. "The Exponentiated Gumbel Type-2 Distribution: Properties and Application," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2016, pages 1-10, August.
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    Cited by:

    1. Farwa Willayat & Naz Saud & Muhammad Ijaz & Anita Silvianita & Mahmoud El-Morshedy, 2022. "Marshall–Olkin Extended Gumbel Type‐II Distribution: Properties and Applications," Complexity, John Wiley & Sons, vol. 2022(1).

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    1. Farwa Willayat & Naz Saud & Muhammad Ijaz & Anita Silvianita & Mahmoud El-Morshedy, 2022. "Marshall–Olkin Extended Gumbel Type‐II Distribution: Properties and Applications," Complexity, John Wiley & Sons, vol. 2022(1).
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