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Document type:
Konferenzbeitrag 
Author(s):
Drton, Mathias 
Title:
Algebraic problems in structural equation modeling 
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:
The 50th Anniversary of Gröbner Bases 
Publisher:
Mathematical Society of Japan 
Year:
2018 
Print-ISBN:
97848649705329784864970525 
Fulltext / DOI: