LOCAL STEREOLOGY OF EXTREMES

Authors

  • Zbynek Pawlas Department of Probability and Mathematical Statistics, Faculty of Mathematics and Physics, Charles University in Prague

DOI:

https://doi.org/10.5566/ias.v31.p99-108

Keywords:

extremes, local stereology, maximum domain of attraction, shape and size parameters, spheroids

Abstract

Local stereology uses information obtained from central sections passing through a reference point of the particle.The aim of this paper is to investigate the prediction of extremes of shape and size parameters based on the central sections. We consider the particle population formed by spheroids (either prolate or oblate) and assume that the reference point is the centre of the spheroid. A relation between shape and size parameters of the particles and their planar sections is derived and consequently stability properties of the domain of attractions are proved.

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Published

2012-05-01

How to Cite

Pawlas, Z. (2012). LOCAL STEREOLOGY OF EXTREMES. Image Analysis and Stereology, 31(2), 99–108. https://doi.org/10.5566/ias.v31.p99-108

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Section

Original Research Paper