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Type II Topp-Leone Frechet distribution: properties and applications

Author

Listed:
  • Shanker Rama

    (Department of Statistics, Assam University, Silchar. India .)

  • Rahman Umme Habibah

    (Department of Statistics, Assam University, Silchar. India .)

Abstract

The paper focuses on type II Topp-Leone Frechet distribution. Its properties including hazard rate function, reverse hazard rate function, Mills ratio, quantile function and order statistics have been studied. The maximum likelihood estimation used for estimating the parameters of the proposed distribution has been explained and expressions for the Fisher information matrix and confidence intervals have been provided. The paper discusses the applications of the distribution for modeling several datasets relating to temperature. Finally, the goodness of fit of the proposed distribution has been compared with that of the Frechet distribution.

Suggested Citation

  • Shanker Rama & Rahman Umme Habibah, 2021. "Type II Topp-Leone Frechet distribution: properties and applications," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 139-152, December.
    • Handle: RePEc:vrs:stintr:v:22:y:2021:i:4:p:139-152:n:7
    DOI: 10.21307/stattrans-2021-042
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    References listed on IDEAS

    as
    1. Ahmed Z. Afify & Haitham M. Yousof & Gauss M. Cordeiro & Edwin M. M. Ortega & Zohdy M. Nofal, 2016. "The Weibull Fréchet distribution and its applications," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(14), pages 2608-2626, October.
    Full references (including those not matched with items on IDEAS)

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