  Lightlike hypersurfaces of a statistical manifold are studied. It is shown
that a lightlike hypersurface of a statistical manifold is not a statistical
manifold with respect to the induced connections, but the screen distribution
has a canonical statistical structure. Some relations between induced geometric
objects with respect to dual connections in a lightlike hypersurface of a
statistical manifold are obtained. An example is presented. Induced Ricci
tensors for lightlike hypersurface of a statistical manifold are computed.
