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Edge‐corrected Estimators for the Reduced Second Moment Measure of Point Processes
Author(s) -
Doguwa Sani I.,
Upton Graham J. G.
Publication year - 1989
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.4710310509
Subject(s) - estimator , mathematics , moment (physics) , context (archaeology) , measure (data warehouse) , statistics , mean squared error , series (stratigraphy) , enhanced data rates for gsm evolution , function (biology) , computer science , physics , paleontology , classical mechanics , database , telecommunications , evolutionary biology , biology
A new edge‐corrected estimator is proposed for the second moment cumulative function K(t) introduced by Ripley (1977, Journal of the Royal Statistical Society, Series B 39, 172–212). This new estimator is compared by simulation methods with existing edge‐corrected estimators in the context of both K(t) and L(t) functions which are used to study point patterns. The results of the simulation study suggests that the new estimator provides almost unbiased estimates of K(t) and L(t) and has a smaller mean squared error than its predecessors.