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A new method of edge correction for estimating the nearest neighbor distribution. (English) Zbl 0848.62050
Summary: Analysis of data in the form of a set of points irregularly distributed within a region of space usually involves the study of some property of the distribution of inter-event distances. One such function is $$G$$, the distribution of the distance from an event to its nearest neighbor. In practice, point processes are commonly observed through a bounded window, thus making edge effects an important component in the estimation of $$G$$. Several estimators have been proposed, all dealing with the edge effect problem in different ways. This paper proposes a new alternative for estimating the nearest neighbor distribution and compares it to other estimators. The result is an estimator with relatively small mean squared error for a wide variety of stationary processes.

MSC:
 62M30 Inference from spatial processes 62H11 Directional data; spatial statistics
spatial
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References:
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