Improving ratio estimators of second order point process characteristics

被引：61

作者：

Stoyan, D ^{[1
]}

Stoyan, H ^{[1
]}

机构：

[1] Freiberg Univ Min & Technol, Freiberg, Germany

来源：

SCANDINAVIAN JOURNAL OF STATISTICS | 2000年 / 27卷 / 04期

关键词：

adapted intensity estimator; cluster process; estimator of squared intensity; hard core process; L function; K function; pair correlation function; point process; Poisson process; ratio estimator;

D O I：

10.1111/1467-9469.00213

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：

Ripley's K function, the L function and the pair correlation function are important second order characteristics of spatial point processes. These functions are usually estimated by ratio estimators, where the numerators are Horvitz-Thompson edge corrected estimators and the denominators estimate the intensity or its square, It is possible to improve these estimators with respect to bias and estimation variance by means of adapted distance dependent intensity estimators. Further improvement is possible by means of refined estimators of the square of intensity. All this is shown by statistical analysis of simulated Poisson, cluster and hard core processes.

引用

页码：641 / 656

页数：16

共 23 条

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[2]

Baddeley A.J., 1993, APPL STAT-J ROY ST C, V42, P641, DOI 10.2307/2986181

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