Information Geometry and its Applications III

Abstract Giovanni Pistone

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Giovanni Pistone  (Collegio Carlo Alberto, Italy)
Friday, August 06, 2010, room Hörsaal 1
Finite generation of cumulants

In case of a finite state space, we can analyze statistical exponential families with tools from both Differential Geometry and Commutative Algebra, see e.g. Gibilisco, Riccomagno, Rogantin, Wynn eds (2009). A key feature of the algebraic framework is the finite generation of polinomial ideals. In the general case, the reduction to some sort of finite generation is more difficult, but it is a classical ingredient of standard statistical models. We suggested in Pistone and Wynn Statistica Sinica (1999) a definition of finite generation which is a generalization of the Morris class of distribution, see Morris Annals of Statistics (1982, 1983). We present here a development of this theory which makes use of recent results on Gröbner bases for D-modules. This is a joint work with Henry Wynn, LSE London UK.

Date and Location

August 02 - 06, 2010
University of Leipzig
04103 Leipzig

Scientific Organizers

Nihat Ay
Max Planck Institute for Mathematics in the Sciences
Information Theory of Cognitive Systems Group
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Paolo Gibilisco
Università degli Studi di Roma "Tor Vergata"
Facoltà di Economia
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František Matúš
Academy of Sciences of the Czech Republic
Institute of Information Theory and Automation
Czech Republic
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Scientific Committee

Shun-ichi Amari
Brain Science Institute, Mathematical Neuroscience Laboratory
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Imre Csiszár
Hungarian Academy of Sciences
Alfréd Rényi Institute of Mathematics
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Dénes Petz
Budapest University of Technology and Economics
Department for Mathematical Analysis
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Giovanni Pistone
Collegio Carlo Alberto, Moncalieri
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Administrative Contact

Antje Vandenberg
Max Planck Institute for Mathematics in the Sciences
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Phone: (++49)-(0)341-9959-552
Fax: (++49)-(0)341-9959-555

05.04.2017, 12:42