Fast block variance estimation procedures for inhomogeneous spatial point processes

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)213-220
Number of pages8
JournalBiometrika
Volume96
Issue number1
DOIs
StatePublished - Mar 2009

Keywords

  • Block variance estimator
  • Inhomogeneous spatial point process
  • Thinning

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Agricultural and Biological Sciences(all)
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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