  A condition for a statistical manifold to have an equiaffine structure is
studied. The facts that dual flatness and conjugate symmetry of a statistical
manifold are sufficient conditions for a statistical manifold to have an
equiaffine structure were obtained in [2] and [3]. In this paper, a fact that a
statistical manifold, which is conjugate Ricci-symmetric, has an equiaffine
structure is given, where conjugate Ricci-symmetry is weaker condition than
conjugate symmetry. A condition for conjugate symmetry and conjugate
Ricci-symmetry to coincide is also given.
