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Optimal Estimation and Rank Detection for Sparse Spiked Covariance Matrices

This paper considers a sparse spiked covariancematrix model in the high-dimensional setting and studies the minimax estimation of the covariance matrix and the principal subspace as well as the minimax rank detection. The optimal rate of convergence for estimating the spiked covariance matrix under...

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書目詳細資料
發表在:Probab Theory Relat Fields
Main Authors: Cai, Tony, Ma, Zongming, Wu, Yihong
格式: Artigo
語言:Inglês
出版: 2014
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在線閱讀:https://ncbi.nlm.nih.gov/pmc/articles/PMC4527666/
https://ncbi.nlm.nih.gov/pubmed/26257453
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/s00440-014-0562-z
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