English

Information Geometry and Statistical Manifold

Statistics Theory 2014-10-14 v1 Differential Geometry Probability Statistics Theory

Abstract

We review basic notions in the field of information geometry such as Fisher metric on statistical manifold, α\alpha-connection and corresponding curvature following Amari's work . We show application of information geometry to asymptotic statistical inference.

Cite

@article{arxiv.1410.3369,
  title  = {Information Geometry and Statistical Manifold},
  author = {Mashbat Suzuki},
  journal= {arXiv preprint arXiv:1410.3369},
  year   = {2014}
}
R2 v1 2026-06-22T06:21:44.288Z