Stereological Modelling of Random Particles

Ziegel, Johanna F. (2013). Stereological Modelling of Random Particles. Communications in statistics - theory and methods, 42(7), pp. 1428-1442. Marcel Dekker 10.1080/03610926.2012.709299

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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.

Item Type:

Journal Article (Original Article)


08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematical Statistics and Actuarial Science

UniBE Contributor:

Ziegel, Johanna F.


300 Social sciences, sociology & anthropology > 360 Social problems & social services
500 Science > 510 Mathematics




Marcel Dekker




Lutz Dümbgen

Date Deposited:

01 Apr 2014 02:35

Last Modified:

05 Dec 2022 14:28

Publisher DOI:



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