Exact Distributional Results for Random Resistance Trees

Ole E. Barndorff‐Nielsen and Tina Hviid Rydberg
Authors registered in the RePEc Author Service: Ole E. Barndorff-Nielsen

Scandinavian Journal of Statistics, 2000, vol. 27, issue 1, 129-141

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.

Date: 2000
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