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

Fiksel, Thomas

Statistics 19, No. 1, 67-75 (1988).

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.

MSC:

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

Keywords:

Edge-corrected kernel estimators; product density; nearest-neighbour- distance distribution function; spherical-contact distribution; stationary and isotropic point processes; non-edge-corrected estimators; simulation

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