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Exact Distributional Results for Random Resistance Trees

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  • Ole E. Barndorff‐Nielsen
  • Tina Hviid Rydberg

Abstract

With a view to the study of, for instance, arterial trees, this paper presents some exact distributional results on finite trees with (reciprocal) inverse Gaussian and gamma resistances. In particular, it is shown that under the specified model the conditional distribution of the minimal sufficient statistic given the total resistance of the tree is a convolution of gamma distributions and two‐dimensional reciprocal inverse Gaussian distributions.

Suggested Citation

  • Ole E. Barndorff‐Nielsen & Tina Hviid Rydberg, 2000. "Exact Distributional Results for Random Resistance Trees," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(1), pages 129-141, March.
    • Handle: RePEc:bla:scjsta:v:27:y:2000:i:1:p:129-141
    DOI: 10.1111/1467-9469.00183
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    Cited by:

    1. Letac, Gérard & Wesołowski, Jacek, 2020. "Multivariate reciprocal inverse Gaussian distributions from the Sabot–Tarrès–Zeng integral," Journal of Multivariate Analysis, Elsevier, vol. 175(C).

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