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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| Format: | Article |
| Language: | English |
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Slovenian Society for Stereology and Quantitative Image Analysis
2011-05-01
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| Series: | Image Analysis and Stereology |
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| Online Access: | http://www.ias-iss.org/ojs/IAS/article/view/825 |
| _version_ | 1818425583725445120 |
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| author | Luis M Cruz-Orive |
| author_facet | Luis M Cruz-Orive |
| author_sort | Luis M Cruz-Orive |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-14T14:16:15Z |
| format | Article |
| id | doaj.art-b9c6dd740acf4b37950dc8c6f3d4e0aa |
| institution | Directory Open Access Journal |
| issn | 1580-3139 1854-5165 |
| language | English |
| last_indexed | 2024-12-14T14:16:15Z |
| publishDate | 2011-05-01 |
| publisher | Slovenian Society for Stereology and Quantitative Image Analysis |
| record_format | Article |
| series | Image Analysis and Stereology |
| spelling | doaj.art-b9c6dd740acf4b37950dc8c6f3d4e0aa2022-12-21T22:58:12ZengSlovenian Society for Stereology and Quantitative Image AnalysisImage Analysis and Stereology1580-31391854-51652011-05-01271172210.5566/ias.v27.p17-22797COMPARATIVE PRECISION OF THE PIVOTAL ESTIMATORS OF PARTICLE SIZELuis M Cruz-OriveThe 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.http://www.ias-iss.org/ojs/IAS/article/view/825convex bodyinvariant test lineparticlepivotal pointpivotal sectionpoint sampled test linestereologysupport functionsupport setsurface areavolume |
| spellingShingle | Luis M Cruz-Orive COMPARATIVE PRECISION OF THE PIVOTAL ESTIMATORS OF PARTICLE SIZE Image Analysis and Stereology convex body invariant test line particle pivotal point pivotal section point sampled test line stereology support function support set surface area volume |
| title | COMPARATIVE PRECISION OF THE PIVOTAL ESTIMATORS OF PARTICLE SIZE |
| title_full | COMPARATIVE PRECISION OF THE PIVOTAL ESTIMATORS OF PARTICLE SIZE |
| title_fullStr | COMPARATIVE PRECISION OF THE PIVOTAL ESTIMATORS OF PARTICLE SIZE |
| title_full_unstemmed | COMPARATIVE PRECISION OF THE PIVOTAL ESTIMATORS OF PARTICLE SIZE |
| title_short | COMPARATIVE PRECISION OF THE PIVOTAL ESTIMATORS OF PARTICLE SIZE |
| title_sort | comparative precision of the pivotal estimators of particle size |
| topic | convex body invariant test line particle pivotal point pivotal section point sampled test line stereology support function support set surface area volume |
| url | http://www.ias-iss.org/ojs/IAS/article/view/825 |
| work_keys_str_mv | AT luismcruzorive comparativeprecisionofthepivotalestimatorsofparticlesize |