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A Class of Bivariate Modified Weighted Distributions: Properties and Applications

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  • Hiba Zeyada Muhammed

    (Cairo University)

Abstract

In this paper, new bivariate weighted distributions are introduced based on Marshall and Olkin concept, different properties of these distributions are discussed. Moreover, the joint pdf, joint survival function, joint cdf, joint hazard function, product moments, marginal conditional density, and moment generating function are obtained explicitly in compact forms. Furthermore, it is shown that the new bivariate weighted distributions are obtained from the Marshall and Olkin survival copula, and a tail dependence measure is discussed. Explicit Bayesian estimators are obtained for the unknown parameters of these models and MLE are also discussed. Three data sets have been re-analyzed for illustrative purposes. Some simulations to see the performances of the estimators are performed. Absolutely continuous bivariate versions of these distributions are obtained and some of their properties are discussed.

Suggested Citation

  • Hiba Zeyada Muhammed, 2023. "A Class of Bivariate Modified Weighted Distributions: Properties and Applications," Annals of Data Science, Springer, vol. 10(4), pages 875-906, August.
    • Handle: RePEc:spr:aodasc:v:10:y:2023:i:4:d:10.1007_s40745-021-00346-9
    DOI: 10.1007/s40745-021-00346-9
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    References listed on IDEAS

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    1. Kundu, Debasis & Gupta, Arjun K., 2013. "Bayes estimation for the Marshall–Olkin bivariate Weibull distribution," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 271-281.
    2. Sanku Dey & Vikas Kumar Sharma & Mhamed Mesfioui, 2017. "A New Extension of Weibull Distribution with Application to Lifetime Data," Annals of Data Science, Springer, vol. 4(1), pages 31-61, March.
    3. James M. Tien, 2017. "Internet of Things, Real-Time Decision Making, and Artificial Intelligence," Annals of Data Science, Springer, vol. 4(2), pages 149-178, June.
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