Abstract
We investigate the shapes of upper tails of distributions of ’ sphere radii’ and ‘circle radii’ that are connected by the Wicksell integral transformation. It will be shown in which way the domains of attraction are related to each other and prove that the distribution of the ‘circle radius’ is approximately of generalized Pareto-type if the ’ sphere radius’ distribution is of that type. The statistical relevance of our findings is indicated.
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© 1992 Springer Science+Business Media Dordrecht
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Dress, H., Reiss, RD. (1992). Tail Behavior in Wicksell’s Corpuscle Problem. In: Galambos, J., Kátai, I. (eds) Probability Theory and Applications. Mathematics and Its Applications, vol 80. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2817-9_13
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DOI: https://doi.org/10.1007/978-94-011-2817-9_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5252-8
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