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On Edge‐Corrected Probability Density Function Estimators for Point Processes
Author(s) -
Doguwa S. I.,
Choji D. N.
Publication year - 1991
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710330517
Subject(s) - estimator , mathematics , kernel density estimation , probability density function , kernel (algebra) , point (geometry) , function (biology) , point process , statistics , grid , combinatorics , geometry , evolutionary biology , biology
F IKSEL (1988) provides an asymptotically unbiased kernel estimator for the density h s ( r ) of the spherical contact distribution function of stationary and isotropic point processes. This paper proposes alternative estimators of h s ( r ) for use with regular grid of locations. The existing estimator of h s ( r ) and the alternatives proposed in this paper are then tested out in a simulation study.