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    J. Dauxois, Y. Romain and S. Viguier-Pla
    Tensor Products and Statistics.
    Linear Algebra and its Applications
    ISSN: 0024-3795/94

    Classification
    Keywords
    tensor product, Kronecker product, covariance operators, covariance matrices, asymptotic theory, multivariate analysis
    Abstract : A dictionary between operator-based and matrix-based languages in multivariate statistical analysis is proposed. Then this formulary is applied to asymptotic factorial analyses, especially for giving asymptotic covariance matrices and operators in an explicit form. Finally, we present the mathematical foundations on which are based the functional tools, i.e. tensor products of linear spaces, of vectors, and of operators.