Bayesian model selection for spatial clustering in 3D surveys

Fionn D. Murtagh; C. Donalek; Giuseppe Longo; Roberto Tagliaferri

doi:10.1117/12.461126

19 December 2002 Bayesian Model Selection for Spatial Clustering in 3D Surveys

Fionn D. Murtagh, C. Donalek, Giuseppe Longo, Roberto Tagliaferri

Proceedings Volume 4847, Astronomical Data Analysis II; (2002) https://doi.org/10.1117/12.461126
Event: Astronomical Telescopes and Instrumentation, 2002, Waikoloa, Hawai'i, United States

Abstract

In this preliminary work on galaxy clustering, we study clusters of arbitrary shape using a 3D galaxy catalog (celestial coordinates and photometric redshifts) derived from Sloan Digital Sky Survey Early Release Data. Spatial influence is modeled using a Markov random field. Comparative model assessment is carried out using an approximation to Bayes factors, viz. the posterior odds of a hypothesis of a given number of clusters versus another. We conclude with a discussion of promising future research directions.

Citation Download Citation

Fionn D. Murtagh, C. Donalek, Giuseppe Longo, and Roberto Tagliaferri "Bayesian Model Selection for Spatial Clustering in 3D Surveys", Proc. SPIE 4847, Astronomical Data Analysis II, (19 December 2002); https://doi.org/10.1117/12.461126

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