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Title:

Algebraic statistical models

Document type:
Zeitschriftenaufsatz
Author(s):
Drton, Mathias ; Sullivant, Seth
Abstract:
Many statistical models are algebraic in that they are defined in terms of polynomial constraints, or in terms of polynomial or rational parametrizations. The parameter spaces of such models are typically semi-algebraic subsets of the parameter space of a reference model with nice properties, such as for example a regular exponential family. This observation leads to the definition of an ‘algebraic exponential family’. This new definition provides a unified framework for the study of statistical...     »
Keywords:
Algebraic statistics, computational algebraic geometry,exponential family, maximum likelihood estimation, modelinvariants, singularities
Dewey Decimal Classification:
510 Mathematik
Journal title:
Statistica Sinica
Year:
2007
Journal volume:
17
Year / month:
2007-10
Quarter:
4. Quartal
Month:
Oct
Journal issue:
4
Pages contribution:
1273-1297
Language:
en
WWW:
JSTOR
Publisher:
Institute of Statistical Science, Academia Sinica
Date of publication:
01.10.2007
Format:
Text
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