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Further Results on the Bivariate Semi-parametric Singular Family of Distributions

Durga VasudevanG. Asha
Dec 2022
摘要
General classes of bivariate distributions are well studied in literature.Most of these classes are proposed via a copula formulation or extensions ofsome characterisation properties in the univariate case. In Kundu(2022) we seeone such semi-parametric family useful to model bivariate data with ties. Thismodel is a general semi-parametric model with a baseline. In this paper wepresent a characterisation property of this class of distributions in terms ofa functional equation. The general solution to this equation is explored.Necessary and sufficient conditions under which the solution becomes abivariate distribution is investigated.
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