A least-squares cross-validation bandwidth selection approach in pair correlation function estimations

Yongtao Guan

Statistics & Probability Letters, 2007, vol. 77, issue 18, 1722-1729

Abstract: The pair correlation function is a useful tool to analyze spatial point patterns. It is often estimated nonparametrically by a procedure such as kernel smoothing. This article develops a data-driven method for the selection of the bandwidth involved in the estimation. The proposed method uses the idea of least-squares cross-validation which has been often applied for bandwidth selection in density estimation and many other nonparametric estimations. The asymptotic property of the proposed approach will be investigated under an increasing-domain setting in this paper.

Keywords: Bandwidth; selection; Least-squares; cross-validation; Pair; correlation; function (search for similar items in EconPapers)
Date: 2007
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