Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/260384 
Year of Publication: 
2022
Series/Report no.: 
cemmap working paper No. CWP03/22
Publisher: 
Centre for Microdata Methods and Practice (cemmap), London
Abstract: 
We develop two new methods for selecting the penalty parameter for the e1-penalized high-dimensional M-estimator, which we refer to as the analytic and bootstrap-after-cross-validation methods. For both methods, we derive nonasymptotic error bounds for the corresponding e1-penalized M-estimator and show that the bounds converge to zero under mild conditions, thus providing a theoretical justification for these methods. We demonstrate via simulations that the finite-sample performance of our methods is much better than that of previously available and theoretically justified methods.
Subjects: 
Penalty parameter selection
penalized M-estimation
high-dimensional models
sparsity
cross-validation
bootstrap
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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