SIZE AND SHAPE FACTOR EXTREMES OF SPHEROIDS

Daniel Hlubinka

Abstract

In the paper we consider random prolate (oblate) spheroids and their random profiles. The limiting distribution of the extremal characteristics of the spheroids is related to the limiting distribution of the corresponding extremal characteristics of the profiles. The difference between the analysis of the prolate and oblate spheroids is discussed. We propose the possible application of the theoretical results.

Keywords
maximum domain of attraction; shape factor of spheroids; size of spheroids; stereology of extremes

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DOI: 10.5566/ias.v25.p145-154

Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)