  We systematically study the hadron longitudinal polarizations of the octet
baryons at large $z$ from quark fragmentations in $e^+e^-$-annihilation,
polarized charged lepton deep inelastic scattering (DIS) process, and neutrino
(antineutrino) DIS process, based on predictions of quark distributions for the
octet baryons in the SU(6) quark-spectator-diquark model and a perturbative QCD
based counting rule analysis. We show that the $e^+e^-$-annihilation and
polarized charged lepton DIS process are able to distinguish between the two
different predictions of the hyperon polarizations. We also find that the
neutrino/antineutrino DIS process is ideal in order to study both the valence
content of the hyperons and the antiquark to hyperon (quark to anti-hyperon)
fragmentations, which might be related to the sea content of hyperons.
