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  • 标题:Sparsity and the Possibility of Inference
  • 本地全文:下载
  • 作者:Peter J. Bickel University of California, Berkeley ; USA Donghui Yan University of California, Berkeley, USA
  • 期刊名称:Sankhya. Series A, mathematical statistics and probability
  • 印刷版ISSN:0976-836X
  • 电子版ISSN:0976-8378
  • 出版年度:2008
  • 卷号:70
  • 期号:01
  • 页码:1-24
  • 出版社:Indian Statistical Institute
  • 摘要:We discuss the importance of sparsity in the context of nonparametric regres- sion and covariance matrix estimation. We point to low manifold dimension of the covariate vector as a possible important feature of sparsity, recall an estimate of dimension due to Levina and Bickel (2005) and establish some conjectures made in that paper.
  • 关键词:Sparsity, statistical inference, nonparametric regres- sion, covariance matrix estimation, dimension estimation.
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