Differential-Geometrical Methods in Statistics pp 11-65

Part of the Lecture Notes in Statistics book series (LNS, volume 28) | Cite as

Differential Geometry of Statistical Models

  • Shun-ichi Amari


The present chapter is devoted to the introduction of fundamental differential-geometrical structures of statistical models. The tangent space, the Riemannian metric and the α-connections are introduced in a statistical manifold. No differential-geometrical background is required for reading this monograph, because the present chapter provides a readable introduction to differential geometry.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Shun-ichi Amari
    • 1
  1. 1.Faculty of Engineering Department of Mathematical Engineering and Information PhysicsUniversity of TokyoTokyoJapan

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