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An erratum to this article is available at http://dx.doi.org/10.1007/BF02911633.
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Siotani, M. Some applications of Loewner's ordering on symmetric matrices. Ann Inst Stat Math 19, 245–259 (1967). https://doi.org/10.1007/BF02911678
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DOI: https://doi.org/10.1007/BF02911678