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July, 1973 Distinctness of the Eigenvalues of a Quadratic form in a Multivariate Sample
Masashi Okamoto
Ann. Statist. 1(4): 763-765 (July, 1973). DOI: 10.1214/aos/1176342472

Abstract

This paper shows that a quadratic form in a multivariate sample has a certain rank and its nonzero eigenvalues are distinct with probability one under the assumption that the matrix defining the quadratic form satisfies a certain rank condition and that the underlying distribution of the sample is absolutely continuous with respect to Lebesgue measure.

Citation

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Masashi Okamoto. "Distinctness of the Eigenvalues of a Quadratic form in a Multivariate Sample." Ann. Statist. 1 (4) 763 - 765, July, 1973. https://doi.org/10.1214/aos/1176342472

Information

Published: July, 1973
First available in Project Euclid: 12 April 2007

zbMATH: 0261.62043
MathSciNet: MR331643
Digital Object Identifier: 10.1214/aos/1176342472

Subjects:
Primary: 62H10
Secondary: 62E15

Rights: Copyright © 1973 Institute of Mathematical Statistics

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Vol.1 • No. 4 • July, 1973
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