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On Three Parameter Discrete Generalized Inverse Weibull Distribution: Properties and Applications

Author

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  • Bilal Ahmad Para

    (University of Kashmir)

  • Tariq Rashid Jan

    (University of Kashmir)

Abstract

In this paper, a new discrete version of generalized inverse Weibull distribution is proposed using the general approach of discretization. Structural properties of the newly introduced discrete model have been discussed comprehensively. Characterization results have also been made to establish a direct link between the discrete generalized inverse Weibull distribution and its continuous counterpart. Various theorems relating a generalized inverse Weibull distribution with other probability models have also been proved. Finally, a real life count data set from medical sciences is used to illustrate the application of discrete inverse Weibull distribution.

Suggested Citation

  • Bilal Ahmad Para & Tariq Rashid Jan, 2019. "On Three Parameter Discrete Generalized Inverse Weibull Distribution: Properties and Applications," Annals of Data Science, Springer, vol. 6(3), pages 549-570, September.
    • Handle: RePEc:spr:aodasc:v:6:y:2019:i:3:d:10.1007_s40745-018-0184-x
    DOI: 10.1007/s40745-018-0184-x
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    References listed on IDEAS

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    1. Roy, D., 1993. "Reliability Measures in the Discrete Bivariate Set-Up and Related Characterization Results for a Bivariate Geometric Distribution," Journal of Multivariate Analysis, Elsevier, vol. 46(2), pages 362-373, August.
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    1. repec:ibn:ijspnl:v:8:y:2019:i:4:p:25 is not listed on IDEAS
    2. Abdulkareem M. Basheer & H. M. Okasha & A. H. El-Baz & A. M. K. Tarabia, 2023. "E-Bayesian and Hierarchical Bayesian Estimations for the Inverse Weibull Distribution," Annals of Data Science, Springer, vol. 10(3), pages 737-759, June.
    3. G. G. Hamedani, 2019. "On Characterizations of Four Recently Introduced Distributions: Two Continuous and Two Discrete," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(4), pages 25-31, July.

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