A Class of Bivariate Modified Weighted Distributions: Properties and Applications

Hiba Zeyada Muhammed ()
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Hiba Zeyada Muhammed: Cairo University

Annals of Data Science, 2023, vol. 10, issue 4, No 2, 875-906

Abstract: 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.

Keywords: Weighted distributions; Weibull distribution; Gumbel distribution; Maximum likelihood estimation; Bayesian estimation; Marginal distributions; Reversed hazard function (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s40745-021-00346-9

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