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Paper: The Quasar Luminosity Function as a Non-Homogeneous Poisson Process
Volume: 371, Statistical Challenges in Modern Astronomy IV
Page: 417
Authors: Hugeback, A.; Coram, M.A.; Jester, S.
Abstract: The Quasar Luminosity Function (QLF) is the spatial density of quasars as a function of absolute optical magnitude M and redshift z. Following the work of Richards et al. (2006), this paper presents a flexible parametric model of quasars as a non-homogeneous poisson process over the M z space. Our contribution to this model allows for the introduction of higher-order terms if warranted by the data. At present, M and z are treated as separable as is commonly done (Fan et al. 2001), however we plan to extend our model to account for the dependency apparent in the data. Parameters are estimated using the method of maximum likelihood. The performance of the Bayesian information criterion for model selection is examined on simulated data sets and a preliminary fitted model for SDSS quasar data is reported.
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