  Recently we have shown that high-energy neutrinos above 200 TeV detected by
IceCube are produced within several parsecs in the central regions of
radio-bright blazars, that is active galactic nuclei with jets pointing towards
us. To independently test this result and extend the analysis to a wider energy
range, we use public data for all neutrino energies from seven years of IceCube
observations. The IceCube point-source likelihood map is analyzed against the
positions of blazars from a statistically complete sample selected by their
compact radio flux density. The latter analysis delivers a 3.0 sigma
significance with the combined post-trial significance of both studies being
4.1 sigma. The correlation is driven by a large number of blazars. Together
with fainter but physically similar sources not included in the sample, they
may explain the entire IceCube astrophysical neutrino flux as derived from
muon-track analyses. The neutrinos can be produced in interactions of
relativistic protons with X-ray self-Compton photons in parsec-scale blazar
jets.
