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Properties of the Covariance Matrix

Properties of the Covariance Matrix

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Properties of the Covariance Matrix The covariance matrix of a random vector X 2 Rn with mean vector mx is deļ¬ned via: Cx = E[(X¡m)(X¡m)T]: The (i;j)th element of this covariance matrix Cx is given byCij = E[(Xi ¡mi)(Xj ¡mj)] = ¾ij: The diagonal entries of this covariance matrix Cx are the variances of the com- ponents of the random vector X, i.e.,

  Properties, Matrix, Covariance, Covariance matrix, Properties of the covariance matrix

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