ON THE STEREOLOGICAL ESTIMATION OF REDUCED MOMENT MEASURES

被引：11

作者：

JENSEN, EB

KIEU, K

GUNDERSEN, HJG

机构：

[1] AARHUS UNIV,STEREOL RES LAB,DK-8000 AARHUS,DENMARK

[2] AARHUS UNIV,INST MATH,DK-8000 AARHUS,DENMARK

[3] INRA,F-84140 MONTFAVET,FRANCE

来源：

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS | 1990年 / 42卷 / 03期

关键词：

Boolean model; Hausdorff measures; marked point processes; measure decomposition; moment measures; stereology; stochastic geometry;

D O I：

10.1007/BF00049301

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：

Recently, a new set of fundamental stereological formulae based on isotropically oriented probes through fixed points have been derived, the so-called "nucleator" estimation principle (cf. Jensen and Gundersen (1989, J. Microsc., 153, 249-267)). In the present paper, it is shown how a model-based version of these formulae leads to stereological estimators of reduced moment measures of stationary and isotropic random sets in ℝn. © 1990 The Institute of Statistical Mathematics.

引用

页码：445 / 461

页数：17

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