A J-function for marked point patterns
A J-function for marked point patterns
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DOI：
10.1007/s10463-005-0015-7
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发表时间：
2006-06-01
影响因子：
1
通讯作者：
van Lieshout, M. N. M.
中科院分区：
文献类型：
--
作者：
van Lieshout, M. N. M.
我们提出了一个新的概括统计标记点模式。基本原理是将图案中标记点到最近的另一标记点的距离与从空间中任意点看到的相同距离进行比较。关于交互作用范围的信息可以推断，并且统计量在随机标记分配下表现良好。我们开发了一系列的Hanisch风格的内核估计，以解决问题的爆炸尾方差较早与J函数插件估计，并进行了探索性的分析林业数据集。
We propose a new summary statistic for marked point patterns. The underlying principle is to compare the distance from a marked point to the nearest other marked point in the pattern to the same distance seen from an arbitrary point in space. Information about the range of interaction can be inferred, and the statistic is well-behaved under random mark allocation. We develop a range of Hanisch style kernel estimators to tackle the problems of exploding tail variance earlier associated with J-function plug-in estimators, and carry out an exploratory analysis of a forestry data set.