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A Simple Extension of Burr-III Distribution and Its Advantages over Existing Ones in Modelling Failure Time Data

Author

Listed:
  • Subrata Chakraborty

    (Dibrugarh University)

  • Laba Handique

    (Dibrugarh University)

  • Rana Muhammad Usman

    (University of the Punjab)

Abstract

In this article we consider a four parameter extended Burr-III distribution and study some distributional, reliability properties and parameter estimation. Performance of estimation technique used for model parameters estimation is numerically investigated employing Monte Carlo simulation with different sample sizes and parameter values. Efficacy of this distribution in modelling one failure time data is evaluated in comparison to some existing extensions of Bur-III distribution employing well known goodness of fit tests and model selection criteria. Our findings show the proposed distribution as the best among the all the other extensions of Burr-III distribution considered in this study.

Suggested Citation

  • Subrata Chakraborty & Laba Handique & Rana Muhammad Usman, 2020. "A Simple Extension of Burr-III Distribution and Its Advantages over Existing Ones in Modelling Failure Time Data," Annals of Data Science, Springer, vol. 7(1), pages 17-31, March.
    • Handle: RePEc:spr:aodasc:v:7:y:2020:i:1:d:10.1007_s40745-019-00227-2
    DOI: 10.1007/s40745-019-00227-2
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    References listed on IDEAS

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    1. Gauss M. Cordeiro & Antonio E. Gomes & Cibele Q. da-Silva & Edwin M. M. Ortega, 2017. "A useful extension of the Burr III distribution," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-15, December.
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    Cited by:

    1. Devendra Pratap Singh & Mayank Kumar Jha & Yogesh Mani Tripathi & Liang Wang, 2023. "Inference on a Multicomponent Stress-Strength Model Based on Unit-Burr III Distributions," Annals of Data Science, Springer, vol. 10(5), pages 1329-1359, October.
    2. 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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