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Copula-based properties of the bivariate Dagum distribution


The Dagum distribution plays an important role both in statistical theory and in economics as a model for income distribution. The main goal of this paper was to develop a bivariate extension of the Dagum distribution and study its distributional properties. Also we will study its dependence properties using copula function. Also we derive the cumulative distribution function and probability density function of the maximum and minimum of the bivariate Dagum order statistics. We estimate the parameters of the distribution and demonstrate it on a real data example.

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We are grateful to the anonymous referees whose comments greatly improved the quality of this manuscript.

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Correspondence to Božidar V. Popović.

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Communicated by Josselin Garnier.

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Popović, B.V., Genç, A.İ. & Domma, F. Copula-based properties of the bivariate Dagum distribution. Comp. Appl. Math. 37, 6230–6251 (2018).

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  • Copula
  • Bivariate Dagum distribution
  • Extreme values
  • Dependency

Mathematics Subject Classification

  • 60G70
  • 62G32
  • 62E15
  • 62H20