Document Zbl 0718.62078

A comparative study of the edge-corrected kernel-based nearest neighbour density estimators for point processes. (English) Zbl 0718.62078

J. Stat. Comput. Simulation 33, No. 2, 83-100 (1989).

Summary: A new edge-corrected kernel-based estimator is proposed for the density function of the nearest neighbour distance of a stationary and isotropic point process. The performances of the new estimator and other existing estimators are compared in a simulation study. The results of the simulation study suggest that the new estimator is preferable to the existing alternatives. The use of the estimator for testing whether a spatial point pattern is consistent with the hypothesis of a Poisson process is demonstrated by a geographical example.

Cited in 2 Documents

MSC:

62G07	Density estimation
60G55	Point processes (e.g., Poisson, Cox, Hawkes processes)
62M30	Inference from spatial processes

Keywords:

bias; density estimation; edge effects; mean squared error; Pinus ponderosa; new edge-corrected kernel-based estimator; nearest neighbour distance; point process; simulation study; Poisson process

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References:

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