  The generalized bulk-boundary correspondence predicts the existence of the
chiral hinge states in three-dimensional second-order topological insulators
(3DSOTIs), resulting in a quantized Hall effect in three dimensions. Chiral
hinge states in Hermitian 3DSOTIs are characterized by the quantized
transmission coefficients with zero fluctuations, even in the presence of
disorders. Here, we show that chiral hinge transport in disordered
non-Hermitian systems deviates from the paradigm of the Hermitian case. Our
numerical calculations prove the robustness of hinge states of disordered
non-Hermitian 3DSOTIs. The mean transmission coefficients may or may not equal
the number of chiral hinge channels, depending on the Hermiticity of chiral
hinge states, while the fluctuations of transmission coefficients are always
non-zero. Such fluctuations are not due to the broken chirality of hinge states
but the incoherent scatterings of non-Hermitian potentials. The physics
revealed here should also be true for one-dimensional chiral channels in
topological materials that support chiral boundary states, such as Chern
insulators, three-dimensional anomalous Hall insulators, and Weyl semimetals.
