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Creators/Authors contains: "Wahl, Martin"

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  1. ; ; (, arXivorg)
    We prove Fuk-Nagaev and Rosenthal-type inequalities for the sums of indepen- dent random matrices, focusing on the situation when the norms of the matrices possess finite moments of only low orders. Our bounds depend on the “intrinsic” dimensional char- acteristics such as the effective rank, as opposed to the dimension of the ambient space. We illustrate the advantages of such results in several applications, including new moment inequalities for the sample covariance operators of heavy-tailed distributions. Moreover, we demonstrate that our techniques yield sharpened versions of the moment inequalities for empirical processes. 
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    Accepted Manuscript Full Text Available
  2. ; ; ; ; ; ; ; ; (, Global Ecology and Conservation)
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  3. ; ; ; ; ; ; ; ; ; ; et al (, Nature)
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