A test for spatial randomness based on k-NN distances

  • Authors:
  • Guangzhou Zeng;Richard C Dubes

  • Affiliations:
  • Department of Computer Science, Michigan State University, East Lansing, MI 48824, USA;Department of Computer Science, Michigan State University, East Lansing, MI 48824, USA

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 1985

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Abstract

This paper examines a new statistic based on k-NN distances for assessing the uniformity of a set of points in a d-dimensional space and proposes the growing frame method for dealing with unknown sampling windows. The proposed statistic is evaluated in three Monte Carlo experiments and applied to the Iris Data.