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Title:

Algebraic problems in structural equation modeling

Document type:
Konferenzbeitrag
Contribution type:
Textbeitrag / Aufsatz
Author(s):
Drton, Mathias
Pages contribution:
35-86
Abstract:
The paper gives an overview of recent advances in structural equation modeling. A structural equation model is a multivariate statistical model that is determined by a mixed graph, also known as a path diagram. Our focus is on the covariance matrices of linear structural equation models. In the linear case, each covariance is a rational function of parameters that are associated to the edges and nodes of the graph. We statistically motivate algebraic problems concerning the rational map that par...     »
Keywords:
algebraic statistics, covariance matrix, Gaussian distribution, graphical model, Gröbner basis, structural equation model
Dewey Decimal Classification:
510 Mathematik
Book / Congress title:
Advanced Studies in Pure Mathematics
Congress (additional information):
The 50th Anniversary of Gröbner Bases
Publisher:
Mathematical Society of Japan
Year:
2018
Print-ISBN:
97848649705329784864970525
Fulltext / DOI:
doi:10.2969/aspm/07710035
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