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Nonparametric Information Geometry
[chapter]

2013
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Lecture Notes in Computer Science
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The differential-geometric structure of the set of positive densities on a given measure space has raised the interest of many mathematicians after the discovery by C.R. Rao of the geometric meaning of the Fisher information. Most of the research is focused on parametric statistical models. In series of papers by author and coworkers a particular version of the nonparametric case has been discussed. It consists of a minimalistic structure modeled according the theory of exponential families:

doi:10.1007/978-3-642-40020-9_3
fatcat:pvxyqtnezjd7bk42v4ny4s5xaq