TEST FOR BANDEDNESS OF HIGH-DIMENSIONAL COVARIANCE MATRICES AND BANDWIDTH ESTIMATION | |
Qiu, Yumou ; Chen, Song Xi | |
2012 | |
关键词 | Banded covariance matrix bandwidth estimation high data dimension large p small n nonparametric LARGEST EIGENVALUE REGULARIZATION DISTRIBUTIONS INDEPENDENCE LASSO |
英文摘要 | Motivated by the latest effort to employ banded matrices to estimate a high-dimensional covariance Sigma, we propose a test for Sigma being banded with possible diverging bandwidth. The test is adaptive to the "large p, small n" situations without assuming a specific parametric distribution for the data. We also formulate a consistent estimator for the bandwidth of a banded high-dimensional covariance matrix. The properties of the test and the bandwidth estimator are investigated by theoretical evaluations and simulation studies, as well as an empirical analysis on a protein mass spectroscopy data.; Statistics & Probability; SCI(E); 0; ARTICLE; 3; 1285-1314; 40 |
语种 | 英语 |
出处 | SCI |
出版者 | 统计学纪事 |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/393350] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Qiu, Yumou,Chen, Song Xi. TEST FOR BANDEDNESS OF HIGH-DIMENSIONAL COVARIANCE MATRICES AND BANDWIDTH ESTIMATION. 2012-01-01. |
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