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Biometrika 1991 78(2):281-286; doi:10.1093/biomet/78.2.281
© 1991 by Biometrika Trust
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A new class of estimators for the reduced second moment measure of point processes

MICHAEL L. STEIN

Department of Statistics, University of Chicago 5734 University Avenue, Chicago, Illinois 60637, U.S.A.

A class of edge-corrected estimators for the reduced second moment measure of a stationary isotropic point process is proposed. All estimators in this class have the same unbiasedness properties as previously suggested edge-corrected estimators. One natural element in this class has superior asymptotic properties to existing estimators when the underlying process is Poisson. A simulation study shows that this superiority also holds for certain cluster processes.

Key Words: Cluster process • Isotropic edge correction • Poisson process • Variance of estimation


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