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We propose a new estimator for the high-dimensional linear regression model with observation error in the design where the number of coefficients is potentially larger than the sample size.
Errors in variables in panel data
Zvi Griliches and Jerry A Hausman · 1986
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Wayne A. Fuller · 1987
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A mean score method for missing and auxiliary covariate data in regression models
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Self-normalized Cramér-type large deviations for independent random variables
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Measurement Error in Nonlinear Models: A Modern Perspective
Leonard A. Stefanski Raymond J. Carroll, David Ruppert and Ciprian Crainiceanu · 2006
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Self-normalized processes
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On the conditions used to prove oracle results for the lasso
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Sparse models and methods for optimal instruments with an application to eminent domain
Alexandre Belloni, Daniel Chen, Victor Chernozhukov, and Christian Hansen · 2010
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Sparse recovery under matrix uncertainty
Mathieu Rosenbaum and Alexandre B. Tsybakov · 2010
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Square-root-lasso: Pivotal recovery of sparse signals via conic programming
Alexandre Belloni, Victor Chernozhukov, and Lie Wang · 2011
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Statistics for high-dimensional data: methods, theory and applications
Peter Bühlmann and Sara Van De Geer · 2011
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High-dimensional instrumental variables regression and confidence sets
Eric Gautier and Alexandre B. Tsybakov · 2011
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Yudong Chen and Constantine Caramanis · 2012
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Pivotal estimation via square-root lasso in nonparametric regression
Alexandre Belloni, Victor Chernozhukov, and Lie Wang · 2014
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Covariate selection in high-dimensional generalized linear models with measurement error
Øystein Sørensen, Arnoldo Frigessi, and Magne Thoresen · 2014
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Cocolasso for high-dimensional error-in-variables regression
Abhirup Datta and Hui Zou · 2015
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Weighted
Abhishek Kaul and Hira L Koul · 2015
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High dimensional errors-in-variables models with dependent measurements
Mark Rudelson and Shuheng Zhou · 2015
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Pivotal uniform inference in high-dimensional regression with random design in wide classes of models via linear programming. Unpublished manuscript
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Alexandre Belloni, Mingli Chen, and Victor Chernozhukov · 2016
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Abhishek Kaul, Hira L Koul, Akshita Chawla, and Soumendra N Lahiri · 2016
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Linear and conic programming approaches to high-dimensional errors-in-variables models
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