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Distributions of the compound and scale mixture of vector and spherical matrix variate elliptical distributions
Authors:José A Díaz-García  Ramón Gutiérrez-Jáimez
Institution:
  • a Universidad Autónoma Agraria Antonio Narro, Department of Statistics and Computation, 25315 Buenavista, Saltillo, Coahuila, Mexico
  • b Department of Statistics and O.R., University of Granada, Granada 18071, Spain
  • Abstract:Several matrix variate hypergeometric type distributions are derived. The compound distributions of left-spherical matrix variate elliptical distributions and inverted hypergeometric type distributions with matrix arguments are then proposed. The scale mixture of left-spherical matrix variate elliptical distributions and univariate inverted hypergeometric type distributions is also derived as a particular case of the compound distribution approach.
    Keywords:62E15  60E05
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