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Characterization of the p-generalized normal distribution

Author

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  • Sinz, Fabian
  • Gerwinn, Sebastian
  • Bethge, Matthias

Abstract

It is a well known fact that invariance under the orthogonal group and marginal independence uniquely characterizes the isotropic normal distribution. Here, a similar characterization is provided for the more general class of differentiable bounded Lp-spherically symmetric distributions: Every factorial distribution in this class is necessarily p-generalized normal.

Suggested Citation

  • Sinz, Fabian & Gerwinn, Sebastian & Bethge, Matthias, 2009. "Characterization of the p-generalized normal distribution," Journal of Multivariate Analysis, Elsevier, vol. 100(5), pages 817-820, May.
    • Handle: RePEc:eee:jmvana:v:100:y:2009:i:5:p:817-820
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    Citations

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    Cited by:

    1. Fabian Sinz & Matthias Bethge, 2013. "Temporal Adaptation Enhances Efficient Contrast Gain Control on Natural Images," PLOS Computational Biology, Public Library of Science, vol. 9(1), pages 1-13, January.
    2. Jan Eichhorn & Fabian Sinz & Matthias Bethge, 2009. "Natural Image Coding in V1: How Much Use Is Orientation Selectivity?," PLOS Computational Biology, Public Library of Science, vol. 5(4), pages 1-16, April.
    3. Shao, Yongzhao & Zhou, Ming, 2010. "A characterization of multivariate normality through univariate projections," Journal of Multivariate Analysis, Elsevier, vol. 101(10), pages 2637-2640, November.

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