Local Stereology of Tensors of Convex Bodies

Ziegel, Johanna F.; Jensen, Eva B. Vedel (2014). Local Stereology of Tensors of Convex Bodies. Methodology and Computing in Applied Probability, 16(2), pp. 263-282. Springer 10.1007/s11009-013-9337-8

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In this paper, we present local stereological estimators of Minkowski tensors defined on convex bodies in ℝ d . Special cases cover a number of well-known local stereological estimators of volume and surface area in ℝ3, but the general set-up also provides new local stereological estimators of various types of centres of gravity and tensors of rank two. Rank two tensors can be represented as ellipsoids and contain information about shape and orientation. The performance of some of the estimators of centres of gravity and volume tensors of rank two is investigated by simulation.

Item Type:

Journal Article (Original Article)

Division/Institute:

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

UniBE Contributor:

Ziegel, Johanna F.

Subjects:

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

ISSN:

1387-5841

Publisher:

Springer

Language:

English

Submitter:

Lutz Dümbgen

Date Deposited:

11 Jun 2014 09:40

Last Modified:

26 Apr 2017 06:53

Publisher DOI:

10.1007/s11009-013-9337-8

BORIS DOI:

10.7892/boris.53253

URI:

https://boris.unibe.ch/id/eprint/53253

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