Unbiased stereological estimation of the surface area of gradient surface processes

Authors
Hahn, U Stoyan, D
Citation
U. Hahn et D. Stoyan, Unbiased stereological estimation of the surface area of gradient surface processes, ADV APPL P, 30(4), 1998, pp. 904-920
Citations number
11
Categorie Soggetti
Mathematics
Journal title
ADVANCES IN APPLIED PROBABILITY
ISSN journal
00018678 → ACNP
Volume
30
Issue
4
Year of publication
1998
Pages
904 - 920
Database
ISI
SICI code
0001-8678(199812)30:4<904:USEOTS>2.0.ZU;2-3
Abstract
An unbiased stereological estimator for surface area density is derived for gradient surface processes which form a particular class of non-stationary spatial surface processes. Vertical planar sections are used for the estim ation. The variance of the estimator is studied and found to be infinite fo r certain types of surface processes. A modification of the estimator is pr esented which exhibits finite variance.