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December 2007 Estimation of Faraday rotation measures of the near galactic sky using Gaussian process models
David M. Higdon, Philipp P. Kronberg, Margaret B. Short
Bayesian Anal. 2(4): 665-680 (December 2007). DOI: 10.1214/07-BA226


Our primary goal is to obtain a smoothed summary estimate of the magnetic field generated in and near to the Milky Way by using Faraday rotation measures (RM's). Each RM in our data set provides an integrated measure of the effect of the magnetic field along the entire line of sight to an extragalactic radio source. The ability to estimate the magnetic field generated locally by our galaxy and its environs will help astronomers distinguish local versus distant properties of the universe. RM's can be considered analogous to %prototypical of geostatistical data on a sphere. In order to model such data, we employ a Bayesian process convolution approach which uses Markov chain Monte Carlo (MCMC) for estimation and prediction. Complications arise due to contamination in the RM measurements, and we resolve these by means of a mixture prior on the errors.


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David M. Higdon. Philipp P. Kronberg. Margaret B. Short. "Estimation of Faraday rotation measures of the near galactic sky using Gaussian process models." Bayesian Anal. 2 (4) 665 - 680, December 2007.


Published: December 2007
First available in Project Euclid: 22 June 2012

zbMATH: 1331.85007
MathSciNet: MR2361969
Digital Object Identifier: 10.1214/07-BA226

Keywords: error mixture model , Gaussian process , Markov chain Monte Carlo , spatial model

Rights: Copyright © 2007 International Society for Bayesian Analysis


Vol.2 • No. 4 • December 2007
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