Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第30回ISCIE「確率システム理論と応用」国際シンポジウム(1998年11月, 京都)
Asymptotic Distribution of a Single Minor Component Estimator
Hideaki SakaiShigeyuki Miyagi
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ジャーナル フリー

1999 年 1999 巻 p. 147-150

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The ordinary differential equation(ODE)method is applied to the adaptive algorithms, that is LMS type PAST algorithm and Krasulina/Reddy(KR) algorithm for extracting single minor component. The asymptotic distributions of these algorithms are derived. In computer simulations, the estimated variances of the eigenvector in these methods are compared with the theoretical values. We show that the LMS type PAST algorithm has a better convergence property than the KR algorithm.
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© 1999 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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