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On Edge‐Corrected Kernel‐Based Pair‐Correlation Function Estimators for Point Processes
Author(s) -
Doguwa Sani I.
Publication year - 1990
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.4710320117
Subject(s) - estimator , mathematics , mean squared error , statistics , kernel (algebra) , correlation , function (biology) , enhanced data rates for gsm evolution , combinatorics , computer science , geometry , artificial intelligence , biology , evolutionary biology
Abstract Edge‐corrected kernel‐based estimators are proposed for the pair‐correlation function g(t) . These estimators are compared by simulation methods with the existing edge‐corrected estimator suggested by FIKSEL (1988, Statistics, 19, 67–75). The results of the simulation study suggests that all the edge‐corrected estimators are almost unbiased. Furthermore, the estimators proposed in this paper have a smaller mean squared error than the existing alternative. Finally, the catoptrophorus semipalmatus nesting pattern is explored.