Fast bandwidth selection for estimation of the pair correlation function |
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Authors: | Abdollah Jalilian |
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Institution: | Department of Statistics, Razi University, Kermanshah, Iran |
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Abstract: | ABSTRACTKernel estimation is a popular approach to estimation of the pair correlation function which is a fundamental spatial point process characteristic. Least squares cross validation was suggested by Guan A least-squares cross-validation bandwidth selection approach in pair correlation function estimations. Statist Probab Lett. 2007;77(18):1722–1729] as a data-driven approach to select the kernel bandwidth. The method can, however, be computationally demanding for large point pattern data sets. We suggest a modified least squares cross validation approach that is asymptotically equivalent to the one proposed by Guan but is computationally much faster. |
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Keywords: | Bandwidth kernel estimator pair correlation function spatial point process |
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