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Resampling configurations of points through coding schemes

  • Andrea Pallini
Article
  • 37 Downloads

Summary

We consider nonparametric variance estimation problems in Gibbs point processes admitting the Dobrushin uniqueness condition. Gibbs point processes can be viewed as Gibbs random fields, and vice versa. Nonparametric estimates are obtained from an original sample, which consists of fixed, conditionally independent subregions partitioning the observed region, where a configuration of points lies. Each subregion consists of adjacent rectangles situated around specific sites in a Gibbs random field. We resample these subregions, completely avoiding Monte Carlo simulation.

Keywords

Coding schemes Conditional independence Gibbs point processes Random fields Nonparametric variance estimation 

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Copyright information

© Società Italiana di Statistica 2000

Authors and Affiliations

  1. 1.Dipartimento di Scienze Statistiche «Paolo Fortunati»Università di BolognaBolognaItaly

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