Cubature Rules and Expected Value of Some Complex Functions

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Claudia Fassino, Eva Riccomagno, Maria Piera Rogantin


The expected value of some complex valued random vectors is computed by means of the indicator function of a designed experiment as known in algebraic statistics. The general theory is set-up and results are obtained for finite discrete random vectors and the Gaussian random vector. The precision space of some cubature rules/designed experiments is determined.

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