Local block bootstrap for inhomogeneous Poisson marked point processes
Date
2018Author
Garner, W.Politis, Dimitris Nicolas
ISSN
1350-7265Source
BernoulliVolume
24Issue
1Pages
592-615Google Scholar check
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The asymptotic theory for the sample mean of a marked point process in d dimensions is established, allowing for the possibility that the underlying Poisson point process is inhomogeneous. A novel local block bootstrap method for resampling inhomogeneous Poisson marked point processes is introduced, and its consistency is proven for the sample mean and related statistics. Finite-sample simulations are carried out to complement the asymptotic results, and demonstrate the feasibility of the proposed methodology. © 2018 ISI/BS.