Some statistical properties of Hadamard products of random matrices

Heinz Neudecker*, Shuangzhe Liu

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)

    Abstract

    The mean of the Hadamard product of two linear combinations of a random matrix is presented in terms of the mean and variance of the random matrix for any distribution. The variance is given for the normal distribution. Further, the means of four Hadamard products of matrix bilinear forms in a normally distributed random matrix are given. Finally, the mean of a quadruple Hadamard product of linear combinations is derived under normality.

    Original languageEnglish
    Pages (from-to)475-487
    Number of pages13
    JournalStatistical Papers
    Volume42
    Issue number4
    DOIs
    Publication statusPublished - Oct 2001

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