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Statistics for Locally Scaled Point Processes

  • Michaela Prokešová
  • Ute Hahn
  • Eva B. Vedel Jensen
Part of the Lecture Notes in Statistics book series (LNS, volume 185)

Summary

Recently, locally scaled point processes have been proposed as a new class of models for inhomogeneous spatial point processes. They are obtained as modifications of homogeneous template point processes and have the property that regions with different intensity differ only by a location dependent scale factor. The main emphasis of the present paper is on analysis of such models. Statistical methods are developed for estimation of scaling function and template parameters as well as for model validation. The proposed methods are assessed by simulation and used in the analysis of a vegetation pattern.

Key words

Inhomogeneous spatial point processes Local scaling of point processes Model validation and simulation 

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Copyright information

© Springer Science+Business Media Inc. 2006

Authors and Affiliations

  • Michaela Prokešová
    • 1
  • Ute Hahn
    • 2
  • Eva B. Vedel Jensen
    • 3
  1. 1.Department of ProbabilityCharles UniversityPraha 8Czech Republic
  2. 2.Department of Applied StochasticsUniversity of AugsburgAugsburgGermany
  3. 3.The T.N. Thiele Centre of Applied Mathematics in Natural Science, Department of Mathematical SciencesUniversity of AarhusAarhus CDenmark

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