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Some Remarks on Odd Burr III Weibull Distribution

Author

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  • Rana Muhammad Usman

    (University of the Punjab)

  • Muhammad Ahsan ul Haq

    (University of the Punjab
    National College of Arts)

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.

Suggested Citation

  • Rana Muhammad Usman & Muhammad Ahsan ul Haq, 2019. "Some Remarks on Odd Burr III Weibull Distribution," Annals of Data Science, Springer, vol. 6(1), pages 21-38, March.
    • Handle: RePEc:spr:aodasc:v:6:y:2019:i:1:d:10.1007_s40745-019-00191-x
    DOI: 10.1007/s40745-019-00191-x
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    References listed on IDEAS

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    1. James B. McDonald, 2008. "Some Generalized Functions for the Size Distribution of Income," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 3, pages 37-55, Springer.
    2. Faton Merovci & Morad Alizadeh & Haitham M. Yousof & G. G. Hamedani, 2017. "The exponentiated transmuted-G family of distributions: Theory and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(21), pages 10800-10822, November.
    3. Tejeda, Hernan A. & Goodwin, Barry K., 2008. "Modeling Crop prices through a Burr distribution and Analysis of Correlation between Crop Prices and Yields using a Copula method," 2008 Annual Meeting, July 27-29, 2008, Orlando, Florida 6061, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    4. Shao, Quanxi & Chen, Yongqin D. & Zhang, Lu, 2008. "An extension of three-parameter Burr III distribution for low-flow frequency analysis," Computational Statistics & Data Analysis, Elsevier, vol. 52(3), pages 1304-1314, January.
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    Cited by:

    1. Muhammad Ahsan ul Haq & Sharqa Hashmi & Khaoula Aidi & Pedro Luiz Ramos & Francisco Louzada, 2023. "Unit Modified Burr-III Distribution: Estimation, Characterizations and Validation Test," Annals of Data Science, Springer, vol. 10(2), pages 415-440, April.

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