A Bivariate Gamma Distribution Whose Marginals are Finite Mixtures of Gamma Distributions

  • Maryam Rafiei Department of Mathematics and Statistics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
  • Anis Iranmanesh Department of Mathematics and Statistics, Mashhad Branch, Islamic Azad University, Mashhad, Iran;
  • Daya k. Nagar Instituto de Mathematicas, Universidad de Antioquia, Medellin, Colombia.
Keywords: Bivariate Distribution, Beta Distribution, Entropy, Information Matrix, Gamma Distribution, Simulation


In this article a new bivariate distribution, whose both the marginals are nite mixture ofgamma distribution has been dened. Several of its properties such moments, correlationcoefficients, measure of skewness, moment generating function, Renyi and Shannon entropieshave been derived. Simulation study have been conducted to evaluate the performance ofmaximum likelihood method.


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How to Cite
Rafiei, M., Iranmanesh, A., & Nagar, D. k. (2020). A Bivariate Gamma Distribution Whose Marginals are Finite Mixtures of Gamma Distributions. Statistics, Optimization & Information Computing, 8(4), 950-971. https://doi.org/10.19139/soic-2310-5070-1001
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