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.
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Peyghan et al. (2024) studied this question.
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