  IceCube is a cubic-kilometer Cherenkov telescope operating at the South Pole.
One of its main objectives is to detect astrophysical neutrinos and identify
their sources. High-energy muon neutrinos are identified through the secondary
muons produced via charge current interactions with the ice. The present
best-performing directional reconstruction of the muon track is a maximum
likelihood method which uses the arrival time distribution of Cherenkov photons
registered by the experiment's photomultipliers. A known systematic shortcoming
of the prevailing method is to assume a continuous energy loss along the muon
track. This contribution discusses a generalized Ansatz where the expected
arrival time distribution is parametrized by a stochastic muon energy loss
pattern. This more realistic parametrization of the muon energy loss profile
leads to an improvement of about 20% to the muon angular resolution of IceCube.
