  This paper is concerned with a robust estimator of the intensity of a
stationary spatial point process. The estimator corresponds to the median of a
jittered sample of the number of points, computed from a tessellation of the
observation domain. We show that this median-based estimator satisfies a
Bahadur representation from which we deduce its consistency and asymptotic
normality under mild assumptions on the spatial point process. Through a
simulation study, we compare the new estimator with the standard one counting
the mean number of points per unit volume. The empirical study verifies the
asymptotic properties established and shows that the median-based estimator is
more robust to outliers than the standard estimator.
