A non-model-based approach to bandwidth selection for kernel estimators of spatial intensity functions

• We propose a new bandwidth selection method for kernel estimators of spatial point process intensity functions. The method is based on an optimality criterion motivated by the Campbell formula applied to the reciprocal intensity function. The new method is fully nonparametric, does not require knowledge of higher-order moments, and is not restricted to a specific class of point process. Our approach is computationally straightforward and does not require numerical approximation of integrals.

Subject headings

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

Keyword

Bandwidth selection

Campbell formula

Intensity function

Kernel estimation

Point process

Statistics

statistik

matematisk statistik

Mathematical Statistics

Publication and Content Type

ref (subject category)

art (subject category)