Affiliation:
1. Arak university
2. King Khalid University
Abstract
We introduce f-statistical connections as a family of statistical connections and study some
geometric objects associated to these connections such as divergence, curvature and Ricci tensors, Hessian
and Laplacian operators. We construct examples of f-statistical connections and study the introducing
concepts on them. Finally we introduce Miao-Tam statistical manifolds and study properties of them.