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math.ST2025
Tail Bounds for Canonical -Statistics and -Processes with Unbounded Kernels
Abhishek Chakrabortty, Arun K. Kuchibhotla
In this paper, we prove exponential tail bounds for canonical (or degenerate) -statistics and -processes under exponential-type tail assumptions on the kernels. Most of the e…
math.ST2018★ 65 cited
Moving Beyond Sub-Gaussianity in High-Dimensional Statistics: Applications in Covariance Estimation and Linear Regression
Arun Kumar Kuchibhotla, Abhishek Chakrabortty
Concentration inequalities form an essential toolkit in the study of high dimensional (HD) statistical methods. Most of the relevant statistics literature in this regard is based o…