  This paper studies the geometry of immersions into statistical manifolds. A
necessary and sufficient condition is obtained for statistical manifold
structures to be dual to each other for a non-degenerate equiaffine immersion.
Then we obtain conditions for realizing an n-dimensional statistical manifold
in an (n+1)-dimensional statistical manifold and its converse. Centro-affine
immersion of codimension two into a dually flat statistical manifold is
defined. Also we have shown that statistical manifold realized in a dually flat
statistical manifold of codimension two is conformally-projectively flat.
