  We derive a microscopic theory of the composite fermion type quasiparticles
describing the low-lying edge excitations in the fractional quantum Hall liquid
with $\nu=1/m$. Using the composite fermion transformation, one finds that the
edge states of the system in a disc sample are described by the
Calogero-Sutherland-like model (CSLM) in the one-dimensional limit. This result
presents the consistency between one-dimensional and two-dimensional
statistics. It is shows that the low-lying excitations, indeed, have the chiral
Luttinger liquid behaviors because there is a gap between the right- and
left-moving excitations of the CSLM.
