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  3. Stereological Modelling of Random Particles

Stereological Modelling of Random Particles

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Publisher DOI
10.1080/03610926.2012.709299
Abstract
Stochastic models for three-dimensional particles have many applications in applied sciences. Lévy–based particle models are a flexible approach to particle modelling. The structure of the random particles is given by a kernel smoothing of a Lévy basis. The models are easy to simulate but statistical inference procedures have not yet received much attention in the literature. The kernel is not always identifiable and we suggest one approach to remedy this problem. We propose a method to draw inference about the kernel from data often used in local stereology and study the performance of our approach in a simulation study.
Date Issued
2013-02-26
Publication Type
Article
Subject(s)
300 Social sciences, sociology & anthropology > 360 Social problems & social services
500 Science > 510 Mathematics
Language(s)
en
Author(s)
Ziegel, Johanna F.  
Institut für Mathematische Statistik und Versicherungslehre (IMSV)  
Additional Credits
Institut für Mathematische Statistik und Versicherungslehre (IMSV)  
Journal
Communications in statistics - theory and methods
Publisher
Marcel Dekker
ISSN
0361-0926
Access(Rights)
metadata.only
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