On the intrinsic relations of correlations in some systems of linear structural equations

TitleOn the intrinsic relations of correlations in some systems of linear structural equations
Publication TypeJournal Article
Year of Publication2016
AuthorsBalabanov, OS
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2016.12.017
Issue12
SectionInformation Science and Cybernetics
Pagination17-21
Date Published12/2016
LanguageUkrainian
Abstract

For a probabilistic linear model of cyclic structure with four variables, we prove two simple inequality-type constraints on the set of correlations. Each of the inequalities (comprising two and three correlations, respectively) facilitates the rejection of the basic model in favor of an alternative model, which differs in that it contains an additional "diagonal" connection.
Keywordscorrelation, hidden variable, inequality constraint, linear dependences, Markov property, model structure, model verification, relationship structure
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