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Noncentral elliptical configuration density

Author

Listed:
  • Caro-Lopera, Francisco J.
  • Díaz-García, José A.
  • González-Farías, Graciela

Abstract

The noncentral configuration density, derived under an elliptical model, generalizes and corrects the Gaussian configuration and some Pearson results. Partition theory is then used to obtain explicit configuration densities associated with matrix variate symmetric Kotz type distributions (including the normal distribution), matrix variate Pearson type VII distributions (including t and Cauchy distributions), the matrix variate symmetric Bessel distribution (including the Laplace distribution) and the matrix variate symmetric Jensen-logistic distribution.

Suggested Citation

  • Caro-Lopera, Francisco J. & Díaz-García, José A. & González-Farías, Graciela, 2010. "Noncentral elliptical configuration density," Journal of Multivariate Analysis, Elsevier, vol. 101(1), pages 32-43, January.
    • Handle: RePEc:eee:jmvana:v:101:y:2010:i:1:p:32-43
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    Cited by:

    1. Caro-Lopera, Francisco J. & Leiva, Víctor & Balakrishnan, N., 2012. "Connection between the Hadamard and matrix products with an application to matrix-variate Birnbaum-Saunders distributions," Journal of Multivariate Analysis, Elsevier, vol. 104(1), pages 126-139, February.
    2. Caro-Lopera, Francisco J. & González-Farías, Graciela & Balakrishnan, N., 2013. "Determinants, permanents and some applications to statistical shape theory," Journal of Multivariate Analysis, Elsevier, vol. 114(C), pages 29-39.

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