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Titel:

Algebraic statistical models

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
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...     »
Stichworte:
Algebraic statistics, computational algebraic geometry,exponential family, maximum likelihood estimation, modelinvariants, singularities
Dewey Dezimalklassifikation:
510 Mathematik
Zeitschriftentitel:
Statistica Sinica
Jahr:
2007
Band / Volume:
17
Jahr / Monat:
2007-10
Quartal:
4. Quartal
Monat:
Oct
Heft / Issue:
4
Seitenangaben Beitrag:
1273-1297
Sprache:
en
WWW:
JSTOR
Verlag / Institution:
Institute of Statistical Science, Academia Sinica
Publikationsdatum:
01.10.2007
Format:
Text
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