Estimators of distance distributions for spatial patterns

被引:13
作者
Chiu, SN
Stoyan, D
机构
[1] Hong Kong Baptist Univ, Dept Math, Kowloon, Peoples R China
[2] TU Bergakad Freiberg, Inst Stochast, D-09596 Freiberg, Germany
关键词
edge corrections; empty space function; point process;
D O I
10.1111/1467-9574.00080
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
BADDELEY and GILL (1994, 1996) have introduced an edge-corrected Kaplan-Meier type estimator of the empty space function, which is very important in point process statistics, The present paper suggests a further estimator of this function, which is based on a method used by HANISCH (1984) for unbiased edge-corrected estimation of the nearest neighbour distance distribution function. Moreover, it turns out that the Kaplan-Meier and the new estimator are closely related, since their densities are border method or minus-sampling type estimators.
引用
收藏
页码:239 / 246
页数:8
相关论文
共 11 条
[1]  
BADDELEY AJ, 1996, IN PRESS ANN STAT
[2]  
BADDELEY AJ, 1994, 19943 U W AUSTR DEP
[3]  
Cressie N., 1993, STAT SPATIAL DATA
[4]  
Gill R.D., 1994, LECT PROBABILITY THE, P115
[5]  
Hanisch K., 1984, Series Statistics, V15, P409, DOI [10.1080/02331888408801788, DOI 10.1080/02331888408801788]
[6]  
HANSEN MB, 1995, 890 U UTRECHT DEP MA
[7]  
HANSEN MB, 1996, IN PRESS SCANDINAVIA
[8]  
Miles R, 1974, STOCHASTIC GEOMETRY, P228
[9]  
NGUYEN XX, 1979, Z WAHRSCHEINLICHKEIT, V48, P133
[10]  
Ripley B.D., 1988, Statistical inference for spatial processes