  We used 1627 faint (15.5< R<23) stars in five fields of the Calar Alto Deep
Imaging Survey (CADIS) to estimate the structure parameters of the Galaxy. The
results were derived by applying two complementary methods: first by fitting
the density distribution function to the measured density of stars
perpendicular to the Galactic plane, and second by modelling the observed
colors and apparent magnitudes of the stars in the field, using Monte Carlo
simulations. The best-fitting model of the Galaxy is then determined by
minimising the C-statistic, a modified chisquared. Our model includes a double
exponential for the stellar disk with scaleheights h_1 and h_2 and a power law
halo with exponent alpha. 24480 different parameter combinations have been
simulated. Both methods yield consistent results: the best fitting parameter
combination is alpha=3.0 (or alpha=2.5, if we allow for a flattening of the
halo with an axial ratio of (c/a)=0.6), h_1=300 pc, h_2=900 pc, and the
contribution of thick disk stars to the disk stars in the solar neighbourhood
is found to be between 4 and 10%.
