Edge-corrected density estimators for point processes. (English) Zbl 0644.62044

Summary: Edge-corrected kernel estimators are given for the product density, for the density of the nearest-neighbour-distance distribution function and for the density of the spherical-contact distribution function of stationary and isotropic point processes. The estimators for the product density are compared with well-known non-edge-corrected estimators by simulation methods. The use of the estimators is demonstrated by a biological example.


62G05 Nonparametric estimation
62M09 Non-Markovian processes: estimation
60G55 Point processes (e.g., Poisson, Cox, Hawkes processes)
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