Some Remarks on Odd Burr III Weibull Distribution

  • Rana Muhammad Usman
  • Muhammad Ahsan ul HaqEmail author


In this study, a univariate model named as Odd Burr III Weibull distribution is developed. This study explains the behavior of the newly developed model and also presents its failure and survival rate functions. Moreover, some unambiguous expression for ordinary moments, moment generating function, incomplete moments, random number generator, mean deviation, entropies and order statistic are provided in this paper. We also discuss the estimation of parameters by using maximum likelihood estimation method. Finally, two real life applications are also provided to observe the flexibility of observed model as compared to some existing models.


Odd Bur III Failure rate function Incomplete moments Orders statistic Maximum likelihood estimation 



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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Rana Muhammad Usman
    • 1
  • Muhammad Ahsan ul Haq
    • 1
    • 2
    Email author
  1. 1.College of Statistical and Actuarial SciencesUniversity of the PunjabLahorePakistan
  2. 2.Quality Enhancement Cell (QEC)National College of ArtsLahorePakistan

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