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Some Remarks on Odd Burr III Weibull Distribution

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Abstract

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.

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Authors and Affiliations

  1. College of Statistical and Actuarial Sciences, University of the Punjab, Lahore, Pakistan

    Rana Muhammad Usman & Muhammad Ahsan ul Haq

  2. Quality Enhancement Cell (QEC), National College of Arts, Lahore, Pakistan

    Muhammad Ahsan ul Haq

Authors
  1. Rana Muhammad Usman
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  2. Muhammad Ahsan ul Haq
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Correspondence to Muhammad Ahsan ul Haq.

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Usman, R.M., Haq, M.A.u. Some Remarks on Odd Burr III Weibull Distribution. Ann. Data. Sci. 6, 21–38 (2019). https://doi.org/10.1007/s40745-019-00191-x

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  • DOI: https://doi.org/10.1007/s40745-019-00191-x

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