The Transmuted Inverse Exponential Distribution

  • Authors

    • Pelumi Oguntunde Covenant University
    • Olusola Adejumo University of Ilorin, Kwara State, Nigeria
    2014-12-12
    https://doi.org/10.14419/ijasp.v3i1.3684
  • Generalization, Inverse Exponential, Moments, Quadratic Rank Transmuted Map, Quantile Function, Transmuted Inverse Exponential.

  • This article introduces a two-parameter probability model which represents another generalization of the Inverse Exponential distribution by using the quadratic rank transmuted map. The proposed model is named Transmuted Inverse Exponential (TIE) distribution and its statistical properties are systematically studied. We provide explicit expressions for its moments, moment generating function, quantile function, reliability function and hazard function. We estimate the parameters of the TIE distribution using the method of maximum likelihood estimation (MLE). The hazard function of the model has an inverted bathtub shape and we propose the usefulness of the TIE distribution in modeling breast cancer and bladder cancer data sets.

    Author Biography

    • Pelumi Oguntunde, Covenant University
      Department of Mathematics

  • References

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