Bimatrix variate gamma-beta distributions |
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Authors: | D K Nagar M Arashi S Nadarajah |
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Institution: | 1. Instituto de Matemáticas, Universidad de Antioquia, Medellín, Colombia;2. Department of Statistics, Shahrood University, Shahrood, Iran;3. School of Mathematics, University of Manchester, Manchester, UK |
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Abstract: | Two bimatrix distributions with beta and gamma marginals are introduced. Various properties (including product moments of determinants and traces, entropies, marginal distributions) are derived. Parameter estimation by the method of maximum likelihood is discussed. The performance and efficiencies of the maximum likelihood estimators and the associated confidence intervals are assessed by simulation. The efficiencies are compared versus those for the maximum likelihood estimators and the associated confidence intervals based on matrix variate gamma distributions. A discussion of possible applications of the bimatrix distributions is given. |
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Keywords: | Bimatrix beta-gamma distribution Maximum likelihood Moment-generating function Zonal polynomial |
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