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The data consist of 5514 events above <jats:inline-formula>\n                     <jats:tex-math>\n\n<\/jats:tex-math>\n                     <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"apjlaaa66dieqn1.gif\" xlink:type=\"simple\"\/>\n                  <\/jats:inline-formula> with zenith angles up to 80\u00b0\u00a0recorded before 2017 April 30. Sky models have been created for two distinct populations of extragalactic gamma-ray emitters: active galactic nuclei from the second catalog of hard <jats:italic>Fermi<\/jats:italic>-LAT sources (2FHL) and starburst galaxies from a sample that was examined with <jats:italic>Fermi<\/jats:italic>-LAT. Flux-limited samples, which include all types of galaxies from the <jats:italic>Swift<\/jats:italic>-BAT and 2MASS surveys, have been investigated for comparison. The sky model of cosmic-ray density constructed using each catalog has two free parameters, the fraction of events correlating with astrophysical objects, and an angular scale characterizing the clustering of cosmic rays around extragalactic sources. A maximum-likelihood ratio test is used to evaluate the best values of these parameters and to quantify the strength of each model by contrast with isotropy. It is found that the starburst model fits the data better than the hypothesis of isotropy with a statistical significance of 4.0<jats:italic>\u03c3<\/jats:italic>, the highest value of the test statistic being for energies above <jats:inline-formula>\n                     <jats:tex-math>\n\n<\/jats:tex-math>\n                     <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"apjlaaa66dieqn2.gif\" xlink:type=\"simple\"\/>\n                  <\/jats:inline-formula>. The three alternative models are favored against isotropy with 2.7<jats:italic>\u03c3<\/jats:italic>\u20133.2<jats:italic>\u03c3<\/jats:italic> significance. The origin of the indicated deviation from isotropy is examined and prospects for more sensitive future studies are discussed.<\/jats:p>","DOI":"10.3847\/2041-8213\/aaa66d","type":"journal-article","created":{"date-parts":[[2018,2,2]],"date-time":"2018-02-02T18:14:37Z","timestamp":1517595277000},"page":"L29","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":192,"title":["An Indication of Anisotropy in Arrival Directions of Ultra-high-energy Cosmic Rays through Comparison to the Flux Pattern of Extragalactic Gamma-Ray Sources<sup>*<\/sup>"],"prefix":"10.3847","volume":"853","author":[{"given":"A.","family":"Aab","sequence":"first","affiliation":[]},{"given":"P.","family":"Abreu","sequence":"additional","affiliation":[]},{"given":"M.","family":"Aglietta","sequence":"additional","affiliation":[]},{"given":"I. F. 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