Information geometry of warped product spaces

Information geometry is an important tool to study statistical models. There are some examples in models which regarded as warped products. In this paper, we information of We consider the case where product and its fiber space equipped with dually flat connections and, particular a cone, characterize on base $$\mathbb {R}_{>0}$$ . The resulting turn out be $$\alpha $$ -connections = \pm {1}$$