  The setting of a right-censored random sample subject to contamination is
considered. In various fields, expert information is often available and used
to overcome the contamination. This paper integrates expert knowledge into the
product-limit estimator in two different ways with distinct interpretations.
Strong uniform consistency is proved for both cases under certain assumptions
on the kind of contamination and the quality of expert information, which sheds
light on the techniques and decisions that practitioners may take. The nuances
of the techniques are discussed -- also with a view towards semi-parametric
estimation -- and they are illustrated using simulated and real-world insurance
data.
