  The international Muon Ionization Cooling Experiment (MICE) aims to
demonstrate muon beam ionization cooling for the first time and constitutes a
key part of the R&D towards a future neutrino factory or muon collider. Beam
cooling reduces the size of the phase space volume occupied by the beam.
Non-parametric density estimation techniques allow very precise calculation of
the muon beam phase-space density and its increase as a result of cooling.
These density estimation techniques are investigated in this paper and applied
in order to estimate the reduction in muon beam size in MICE under various
conditions.
