ON THE VARIANCE OF LOCAL STEREOLOGICAL VOLUME ESTIMATORS

Eva B Vedel Jensen

Abstract

In the present paper, the variance of local stereological volume estimators is studied. For isotropic designs, the variance depends on the shape of the body under study and the choice of reference point. It can be expressed in terms of an equivalent star body. For a collection of triaxial ellipsoids the variance is determined by simulation. The problem of estimating particle size distributions from central sections through the particles is also discussed.

Keywords
local stereology; particle size distribution; star body; triaxial ellipsoid; variance

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DOI: 10.5566/ias.v19.p15-18

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