COMPARATIVE PRECISION OF THE PIVOTAL ESTIMATORS OF PARTICLE SIZE

COMPARATIVE PRECISION OF THE PIVOTAL ESTIMATORS OF PARTICLE SIZE

The pivotal estimators of the surface area and the volume of a generic "particle" are based on a point sampled test line on an isotropic pivotal plane through a fixed point called the pivotal point. The purpose of this paper is to compare the precision of the pivotal estimator of surface a...

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Veröffentlicht in:Image analysis & stereology 2011-05, Vol.27 (1), p.17-22
1. Verfasser: Cruz-Orive, Luis M
Format: Artikel
Sprache:eng
Schlagworte:
Accuracy and precision
Area measurement
Areas and volumes
convex body
invariant test line
Measurement
Methods
Parameter estimation
particle
pivotal point
pivotal section
point sampled test line
stereology
support function
support set
surface area
Surfaces
volume
Volume (Cubic content)
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Beschreibung
Zusammenfassung:The pivotal estimators of the surface area and the volume of a generic "particle" are based on a point sampled test line on an isotropic pivotal plane through a fixed point called the pivotal point. The purpose of this paper is to compare the precision of the pivotal estimator of surface area against the surfactor on the one hand, and of the pivotal estimator of volume against the nucleator on the other. For the sake of a tractable but informative model we compute exact variances for a spherical particle with an eccentric nucleolus.
ISSN:1580-3139
1854-5165
DOI:10.5566/ias.v27.p17-22