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PCA consistency for the power spiked model in high-dimensional settings
http://hdl.handle.net/2241/120110
http://hdl.handle.net/2241/1201108d618463-2062-4479-a56a-d00f9008b0c2
名前 / ファイル | ライセンス | アクション |
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JMA_122.pdf (1.1 MB)
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Item type | Journal Article(1) | |||||
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公開日 | 2013-11-22 | |||||
タイトル | ||||||
タイトル | PCA consistency for the power spiked model in high-dimensional settings | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Yata, Kazuyoshi
× Yata, Kazuyoshi× Aoshima, Makoto |
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著者別名 |
矢田, 和善
× 矢田, 和善× 青嶋, 誠 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this paper, we propose a general spiked model called the power spiked model in high-dimensional settings. We derive relations among the data dimension, the sample size and the high-dimensional noise structure. We first consider asymptotic properties of the conventional estimator of eigenvalues. We show that the estimator is affected by the high-dimensional noise structure directly, so that it becomes inconsistent. In order to overcome such difficulties in a high-dimensional situation, we develop new principal component analysis (PCA) methods called the noise-reduction methodology and the cross-data-matrix methodology under the power spiked model. We show that the new PCA methods can enjoy consistency properties not only for eigenvalues but also for PC directions and PC scores in high-dimensional settings. | |||||
書誌情報 |
Journal of multivariate analysis 巻 122, p. 334-354, 発行日 2013-11 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0047-259X | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0025295X | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1016/j.jmva.2013.08.003 | |||||
権利 | ||||||
権利情報 | © 2013 Elsevier Inc. NOTICE: this is the author’s version of a work that was accepted for publication in Journal of multivariate analysis. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of multivariate analysis, 122, 2013 http://dx.doi.org/10.1016/j.jmva.2013.08.003 | |||||
著者版フラグ | ||||||
値 | author | |||||
出版者 | ||||||
出版者 | Elsevier | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2241/120110 | |||||
識別子タイプ | HDL |