COSMOLOGICAL ORIGIN FOR COSMIC-RAYS ABOVE 10(19) EV

The cosmic-ray spectrum at 10(19)-10(20) eV, reported, by the Fly's Ey e and the AGASA experiments, is shown to be consistent with a cosmolog ical distribution of sources of protons, with a power-law generation s pectrum d ln N/d ln E = -2.3 +/- 0.5 and energy production rate of 4.5 +/- 1.5 x 10(44) ergs Mpc(-3) yr(-1). The two events measured above 1 0(20) eV are not inconsistent with this model. Verifying the existence of a ''blackbody cutoff,'' currently observed with low significance, would require similar to 30 observation years with existing experiment s, but only similar to 1 year with the proposed similar to 5000 km(2) detectors. For a cosmological source distribution, no anisotropy is ex pected in the angular distribution of events with energies up to simil ar to 5 x 10(19) eV.