… description on statistical manifolds [1, 4] and immersions into statistical manifolds. Then,
we prove a necessary and sufficient condition for the inherited statistical manifold structures to …

… immersion of a statistical manifold into Rn+1. In this chapter, we consider affine immersions
and immersions into statistical manifolds of … Also, mention about the immersions of general …

… In this paper we study the hypersurface of statistical manifolds. … operator of statistical
immersion of a trivial statistical manifold of constant curvature into a Hessian manifold of constant …

… manifolds followed (see [1], [3]). We consider special Kähler manifolds as a class of statistical
manifolds … In this paper, we study such immersions, in particular, elementary properties of …

… We note that the immersion problem for statistical manifolds can be considered as an
immersion problem for Riemannian manifolds provided with a constraint - a 3-symmetric tensor. …

… submanifolds in the context of statistics. It focuses on deriving two new and distinct inequalities
for a statistical warped product submanifold in a statistical manifold of a constant (quasi-…

… We will assume that all manifolds discussed in this introduction are … manifolds discussed
in this paper will be finite dimensional and all the connected components of a given manifold …

… that every n-dimensional Riemannian manifold M n can be … tensor, does not admit any
isostatistical immersion on ( R N , g c … of an isostatistical immersion between statistical manifolds). …

… are mutually dual statistical manifolds, and … statistical manifold was introduced by Lauritzen
[10 ]. He called the triplet (M,g,C) a statistical manifold, where (M,g) is a Riemannian manifold …

… (C1 resp.) statistical manifold can be embedded into the space of probability … immersion
of a statistical manifold (M,T,g) is based the Nash immersion theorem, the Gromov immersion …