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Random Sets pp 27-45 | Cite as

Statistical Problems for Random Sets

  • Ilya Molchanov
Chapter
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 97)

Abstract

This paper surveys different statistical issues that involve random closed sets. The main topics include the estimation of capacity functionals, averaging and expectations of random sets, models of compact sets, and statistics of the Boolean model.

Key words

Aumann Expectation Averaging Boolean Model Capacity Functional Distance Function Empirical Distribution Point Process Random Polygon Set-Valued Expectation Spatial Process 

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Ilya Molchanov
    • 1
  1. 1.Department of StatisticsUniversity of GlasgowScotland, UK

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