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Fast block variance estimation procedures for inhomogeneous spatial point processes
Vol. 96, No. 1 (MARCH 2009), pp. 213-220
Stable URL: http://www.jstor.org/stable/27798813
Page Count: 8
You can always find the topics here!Topics: Estimators, Statistical variance, Simulations, Spatial points, Standard deviation, Bootstrap resampling, Statistical estimation, Estimation methods, Statism, Point estimators
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We introduce two new variance estimation procedures that use non-overlapping and overlapping blocks, respectively. The non-overlapping blocks estimator can be viewed as the limit of the thinned block bootstrap estimator recently proposed in Guan & Loh (2007), by letting the number of thinned processes and bootstrap samples therein both increase to infinity. The non-overlapping blocks estimator can be obtained quickly since it does not require any thinning or bootstrap steps, and it is more stable. The overlapping blocks estimator further improves the performance of the non-overlapping blocks with a modest increase in computation time. A simulation study demonstrates the superiority of the proposed estimators over the thinned block bootstrap estimator.
Biometrika © 2009 Biometrika Trust