S. Amari and H. Nagaoka, Methods of Information Geometry; Translations of mathematical monographs, p.136

S. Amari, Information Geometry and Its Applications, Applied Mathematical Sciences, p.138

H. Shima, The Geometry of Hessian Structures, 2007.

S. Amari, O. Barndorff-nielsen, I. Statistics, R. Kass, S. Lauritzen et al., Differential Geometry in Statistical Inference

, Le, H. Statistical manifolds are statistical models, American Oriental Series, vol.142, issue.5, pp.83-93, 1987.

K. ;. Yano and E. Patterson, Vertical and complete lifts from a manifold to its cotangent bundle, J. Math

. Soc and . Japan, , vol.19, pp.91-113, 1967.

K. ;. Yano and E. Patterson, Horizontal lifts from a manifold to its cotangent bundle, J. Math. Soc. 147 Japan, vol.19, pp.185-198, 1967.

P. Dombrowski, On the Geometry of the Tangent Bundle, Journal für die reine und angewandte 149 Mathematik, pp.73-88, 1962.

I. Satô, Complete lifts from a manifold to its cotangent bundle, Kodai Math. Sem. Rep, vol.20, pp.458-468, 1968.

E. M. Patterson and A. Walker, Riemann extensions, The Quarterly Journal of Mathematics, vol.3, p.11, 1952.

K. P. Mok, Metrics and connections on the cotangent bundle, Kodai Math. Sem. Rep, vol.28, pp.226-238, 1977.

E. Calviño-louzao, E. Garcia-rio, P. Gilkey, and R. Vázquez-lorenzo, The geometry of modified Riemannian