Unbiased stereological estimation of the surface area of gradient surface processes

被引：8

作者：

Hahn, U ^{[1
]}

Stoyan, D

机构：

[1] Univ Western Australia, Dept Math, Nedlands, WA 6907, Australia

[2] Freiberg Univ Min & Technol, Inst Stochast, D-09596 Freiberg, Germany

来源：

ADVANCES IN APPLIED PROBABILITY | 1998年 / 30卷 / 04期

关键词：

gradient surface process; stereology; surface area density; vertical sections;

D O I：

10.1017/S0001867800008715

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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 estimation. The variance of the estimator is studied and found to be infinite for certain types of surface processes. A modification of the estimator is presented which exhibits finite variance.

引用

页码：904 / 920

页数：17

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