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Ultra High Energy (UHE) particles coming from discrete extragalactic sourcesare potential candidates for EAS events above a few tens of EeV. In particular,galaxies with huge infrared luminosity triggered by collision and mergingprocesses are possible sites of UHECR acceleration. Using the PSCz catalogue ofIR galaxies we calculate a large scale anisotropy of UHE protons originating inthe population of the luminous infrared galaxies (LIRGs). Small angle particlescattering in weak irregular extragalactic magnetic fields as well asdeflection by regular Galactic field are taken into account. We give analyticalformulae for deflection angles with included energy losses on cosmic microwavebackground (CMB). The hypotheses of the anisotropic and isotropic distributionsof the experimental data above 40 EeV from AGASA are checked, using variousstatistical tests. We show that on the basis of the small scale clusteringanalysis there is a much better correlation of the UHECRs data below GZKcut-off with the predictions of the LIRG origin than with those of isotropy. Wederive analytical formulae for a probability of a given number of doublets,triplets and quadruplets for any density distribution of independent events onthe sky. The famous AGASA UHE triple event is found to be very well correlatedon the sky with the brightest extragalactic infrared source within 70 Mpc -merger galaxies Arp 299 (NGC 3690 + IC 694).Comment: 17 pages, 10 figures, accepted for publ: Journal of Physics

Luminous infrared galaxies as possible sources of UHE cosmic rays