Isaac Scientific Publishing

Journal of Advances in Applied Mathematics

On Making an Informed Decision between Four Exponential-based Continuous Compound Distributions

Download PDF (298.1 KB) PP. 75 - 81 Pub. Date: April 1, 2019

DOI: 10.22606/jaam.2019.42005


  • Obubu Maxwell*
    Department of Statistics, Nnamdi Azikiwe University, Awka, Nigeria
  • Samuel Oluwafemi Oyamakin
    Department of Statistics, University of Ibadan, Ibadan, Nigeria
  • Angela Chukwu Unna
    Department of Statistics, University of Ibadan, Ibadan, Nigeria
  • Adeleke Akinrinade Kayode
    Department of Statistics, University of Ilorin, Ilorin, Nigeria
  • Yusuf Olufemi Olusola
    Department of Statistics, University of Ilorin, Ilorin, Nigeria


This article proposes a new continuous lifetime model called the Gompertz Alpha Power Inverted Exponential (G-APIE) distribution, and compares its modelling strength between the Extended Exponential distribution, Exponential Weibull, and Exponentiated Lomax distribution. The proposed distribution was applied to three lifetime data and the best model determined based on the lowest criterion values.


Alpha power, inverted exponential, order statistics, Gompertz generalized family of distribution, hazard functions.


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