  The coupled-wire construction provides a useful way to obtain microscopic
Hamiltonians for various two-dimensional topological phases, among which
fractional quantum Hall states are paradigmatic examples. Using the recently
introduced flux attachment and vortex duality transformations for coupled
wires, we show that this construction is remarkably versatile to encapsulate
phenomenologies of hierarchical quantum Hall states: the Jain-type hierarchy
states of composite fermions filling Landau levels and the Haldane-Halperin
hierarchy states of quasiparticle condensation. The particle-hole conjugate
transformation for coupled-wire models is also given as a special case of the
hierarchy construction. We also propose coupled-wire models for the composite
Fermi liquid, which turn out to be compatible with a sort of the particle-hole
symmetry implemented in a nonlocal way at $\nu=1/2$. Furthermore, our approach
shows explicitly the connection between the Moore-Read Pfaffian state and a
chiral $p$-wave pairing of the composite fermions. This composite fermion
picture is also generalized to a family of the Pfaffian state, including the
anti-Pfaffian state and Bonderson-Slingerland hierarchy states.
