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On the domain of attraction for the lower tail in Wicksell's corpuscle problem

Probability 2007-05-23 v1

Abstract

We consider the classical Wicksell corpuscle problem with spherical particles in R^n and investigate the shapes of lower tails of distributions of `sphere radii' in R^n and `sphere radii' in a k-dimensional section plane. We show in which way the domains of attraction are related to each other.

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Cite

@article{arxiv.math/0607086,
  title  = {On the domain of attraction for the lower tail in Wicksell's corpuscle problem},
  author = {S. Koetzer and I. Molchanov},
  journal= {arXiv preprint arXiv:math/0607086},
  year   = {2007}
}

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6 pages