f-STATISTICAL CONNECTIONS AND MIAO-TAM STATISTICAL MANIFOLDS

Yıl 2024, Erken Görünüm, 1 - 28

Esmaeil Peyghan , Leila Nourmohammadifar , Akram Ali

https://doi.org/10.15672/hujms.1414765

Öz

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.

Anahtar Kelimeler

f-statistical connction, Hessian operator, Laplacian operator, Miao-Tam equation, statistical manifold.

Etik Beyan

This paper is original. I would like to publish this paper in your journal.

Kaynakça

• [1] S. Amari, Information geometry of the EM and em algorithms for neural networks, Neural Networks 8 (9), 1379–1408, 1995