  We reanalyze the neutrino events from SN1987A in IMB and Kamiokande-II (KII)
detectors, and compare them with the expectations from simple theoretical
models of the neutrino emission. In both detectors the angular distributions
are peaked in the forward direction, and the average cosines are 2 sigma above
the expected values. Furthermore, the average energy in KII is low if compared
with the expectations; but, as we show, the assumption that a few (probably
one) events at KII have been caused by elastic scattering is not in contrast
with the 'standard' picture of the collapse and yields a more satisfactory
distributions in angle and (marginally) in energy. The observations give useful
information on the astrophysical parameters of the collapse: in our
evaluations, the mean energy of electron antineutrinos is <E> =12-16 MeV, the
total energy radiated around (2-3)*1.E53 erg, and there is a hint for a
relatively large radiation of non-electronic neutrino species. These properties
of the neutrino burst are not in disagreement with those suggested by the
current theoretical paradigm, but the data leave wide space to non-standard
pictures, especially when neutrino oscillations are included.
