Displaying similar documents to “Representation theory and statistics”

Indecomposable (1,3)-groups and a matrix problem

David M. Arnold, Adolf Mader, Otto Mutzbauer, Ebru Solak (2013)

Czechoslovak Mathematical Journal

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Almost completely decomposable groups with a critical typeset of type ( 1 , 3 ) and a p -primary regulator quotient are studied. It is shown that there are, depending on the exponent of the regulator quotient p k , either no indecomposables if k ≤ 2 ; only six near isomorphism types of indecomposables if k = 3 ; and indecomposables of arbitrary large rank if k ≥ 4 .

The determination of factors in linear models of factor analysis

Petr Kratochvíl (1990)

Aplikace matematiky

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The author shows that a decomposition of a covariance matrix ∑ = 𝐀𝐀 ' implies the corresponding model, i.e. the existence of factors f j such that ∑ a i j f j is true. The result is applied to the general linear model of factor analysis. A procedure for computing the factor score is proposed.