Statistical manifolds are statistical models

On C1-isometric imbeddings. I

Nicolaas H. Kuiper · Indagationes Mathematicae (Proceedings) · 1955 · 300 citations

Integral Geometry, Engineering, Interpolation Space +3

Differential metrics in probability spaces

Jacob Burbea, C. Radhakrishna Rao · 1984 · 75 citations

Measure Theory, Engineering, Information Theory +13

Any statistical manifold has a contrast function---on the $C\sp 3$-functions taking the minimum at the diagonal of the product manifold

Takao Matumoto · Hiroshima Mathematical Journal · 1993 · 51 citations · Full text

Manifold Learning, Manifold Modeling, Product Manifold +3

An Information-Geometric Approach to a Theory of Pragmatic Structuring

Nihat Ay · The Annals of Probability · 2002 · 38 citations · Full text

Large Deviations, Engineering, Pragmatic Analysis +23