Bayesian nonparametric estimation of pair correlation function for inhomogeneous spatial point processes

Yu Ryan Yue, Ji Meng Loh

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The pair correlation function (PCF) is a useful tool for studying spatial point patterns. It is often estimated by some nonparametric approach such as kernel smoothing. However, the statistical properties of the kernel estimator are highly dependent on the choice of bandwidth. An inappropriate value of the bandwidth may lead to an estimator with a large bias or variance or both. In this work, we present an alternative PCF estimator based on Bayesian nonparametric regression. The method provides data-driven smoothing and intuitive uncertainty measures, together with efficient computation. The merits of our method are demonstrated via a simulation study and a couple of applications involving astronomy data and data on restaurant locations.

Original languageEnglish (US)
Pages (from-to)463-474
Number of pages12
JournalJournal of Nonparametric Statistics
Volume25
Issue number2
DOIs
StatePublished - Jun 1 2013

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Keywords

  • Bayesian smoothing
  • inhomogeneous spatial point processes
  • integrated nested Laplace approximation
  • pair correlation function

Fingerprint Dive into the research topics of 'Bayesian nonparametric estimation of pair correlation function for inhomogeneous spatial point processes'. Together they form a unique fingerprint.

Cite this