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Robust Bayesian inference in Iq-Spherical models

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  • Osiewalski, Jacek
  • Steel, Mark F.J.

Abstract

The class of multivariate lq-spherical distributions is introduced and defined through their isodensity surfaces. We prove that, under a Jeffreys' type improper prior on the scale parameter, posterior inference on the location parameters is the same for all lq-spherical sampling models with common q. This gives us perfect inference robustness with respect to any departures from the reference case of independent sampling from the exponential power distribution.

Suggested Citation

  • Osiewalski, Jacek & Steel, Mark F.J., 1992. "Robust Bayesian inference in Iq-Spherical models," UC3M Working papers. Economics 2843, Universidad Carlos III de Madrid. Departamento de Economía.
    • Handle: RePEc:cte:werepe:2843
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    References listed on IDEAS

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    1. Cambanis, Stamatis & Huang, Steel & Simons, Gordon, 1981. "On the theory of elliptically contoured distributions," Journal of Multivariate Analysis, Elsevier, vol. 11(3), pages 368-385, September.
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    1. Fernández, Carmen & Osiewalski, Jacek & Steel, Mark F. J., 2001. "Robust Bayesian Inference on Scale Parameters," Journal of Multivariate Analysis, Elsevier, vol. 77(1), pages 54-72, April.
    2. José T. A. S. Ferreira & Mark F. J. Steel, 2005. "Modelling directional dispersion through hyperspherical log‐splines," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(4), pages 599-616, September.

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    Bayesian inference;

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