  We consider a problem of estimation for the telegrapher's process on the
line, say X(t), driven by a Poisson process with non constant rate. It turns
out that the finite-dimensional law of the process X(t) is a solution to the
telegraph equation with non constant coefficients. We give the explicit law
P(theta) of the process X(t) for a parametric class of intensity functions for
the Poisson process. We propose an estimator for the parameter theta of
P(theta) and we discuss its properties as a first attempt to apply statistics
to these models.
