  The origins of ultra-high energy cosmic rays (UHECRs) remain an open
question. Several attempts have been made to cross-correlate the arrival
directions of the UHECRs with catalogs of potential sources, but no definite
conclusion has been reached. We report a Bayesian analysis of the 69 events
from the Pierre Auger Observatory (PAO), that aims to determine the fraction of
the UHECRs that originate from known AGNs in the Veron-Cety & Veron (VCV)
catalog, as well as AGNs detected with the Swift Burst Alert Telescope
(Swift-BAT), galaxies from the 2MASS Redshift Survey (2MRS), and an additional
volume-limited sample of 17 nearby AGNs. The study makes use of a multi-level
Bayesian model of UHECR injection, propagation and detection. We find that for
reasonable ranges of prior parameters, the Bayes factors disfavour a purely
isotropic model. For fiducial values of the model parameters, we report 68%
credible intervals for the fraction of source originating UHECRs of
0.09+0.05-0.04, 0.25+0.09-0.08, 0.24+0.12-0.10, and 0.08+0.04-0.03 for the VCV,
Swift-BAT and 2MRS catalogs, and the sample of 17 AGNs, respectively.
