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

Document Type

Article

Publication Date

7-1-2017

Abstract

The two-point correlation function (2PCF) is a measure of the second-order properties of a spatial point pattern and is commonly used in astronomy. We introduce an asymptotic mean squared error (AMSE) approach to obtain closed-form 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 information to be extracted from the data. Numerical studies suggest that the mean squared error of estimates obtained using AMSE optimal bandwidths are close to those obtained with the empirical optimal bandwidths. We illustrate this with an application to a galaxy cluster catalog from the Sloan Digital Sky Survey.

Identifier

85020552994 (Scopus)

Publication Title

Statistica Sinica

External Full Text Location

https://doi.org/10.5705/ss.202015.0426

ISSN

10170405

First Page

1401

Last Page

1418

Issue

3

Volume

27

Grant

2013R1A1A2010065

Fund Ref

Ministry of Education

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