Bandwidth selection for estimating the two-point correlation function of a spatial point pattern using AMSE

  title={Bandwidth selection for estimating the two-point correlation function of a spatial point pattern using AMSE},
  author={Ji Meng Loh and Woncheol Jang},
  journal={Statistica Sinica},
The two-point correlation function (2PCF) is a measure of the secondorder properties of a spatial point pattern and is commonly used in astronomy. We introduce an asymptotic mean squared error (AMSE) approach to obtain closedform expressions of adaptive optimal bandwidths for estimating the two-point correlation function of a homogeneous spatial point pattern. This approach provides a simple, quick method for optimal bandwidth selection for 2PCF estimation. Using optimal bandwidths allows more… 
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