Stereological determination of particle size distributions for similar convex bodies
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916296018362368 |
|---|---|
| author | van der Jagt, Thomas Jongbloed, Geurt Vittorietti, Martina |
| author_facet | van der Jagt, Thomas Jongbloed, Geurt Vittorietti, Martina |
| contents | Consider an opaque medium which contains 3D particles. All particles are convex bodies of the same shape, but they vary in size. The particles are randomly positioned and oriented within the medium and cannot be observed directly. Taking a planar section of the medium we obtain a sample of observed 2D section profile areas of the intersected particles. In this paper the distribution of interest is the underlying 3D particle size distribution for which an identifiability result is obtained. Moreover, a nonparametric estimator is proposed for this size distribution. The estimator is proven to be consistent and its performance is assessed in a simulation study. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_02856 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stereological determination of particle size distributions for similar convex bodies van der Jagt, Thomas Jongbloed, Geurt Vittorietti, Martina Applications 62G05, 60D05, 60E10 Consider an opaque medium which contains 3D particles. All particles are convex bodies of the same shape, but they vary in size. The particles are randomly positioned and oriented within the medium and cannot be observed directly. Taking a planar section of the medium we obtain a sample of observed 2D section profile areas of the intersected particles. In this paper the distribution of interest is the underlying 3D particle size distribution for which an identifiability result is obtained. Moreover, a nonparametric estimator is proposed for this size distribution. The estimator is proven to be consistent and its performance is assessed in a simulation study. |
| title | Stereological determination of particle size distributions for similar convex bodies |
| topic | Applications 62G05, 60D05, 60E10 |
| url | https://arxiv.org/abs/2305.02856 |