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We develop a framework for post model selection inference, via marginal screening, in linear regression.
Statistical inference
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The finite-sample distribution of post-model-selection estimators and uniform versus nonuniform approximations
Hannes Leeb and Benedikt M Pötscher · 2003
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Least angle regression
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Testing Statistical Hypotheses
Erich L. Lehmann and Joseph P. Romano · 2005
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Can one estimate the conditional distribution of post-model-selection estimators?
Hannes Leeb and Benedikt M Pötscher · 2006
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On model selection consistency of lasso
P. Zhao and B. Yu · 2006
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Sharp thresholds for high-dimensional and noisy sparsity recovery using ℓ 1 \ell_{1} -constrained quadratic programming (lasso)
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Tingni Sun and Cun-Hui Zhang · 2012
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Valid post-selection inference
Richard Berk, Lawrence Brown, Andreas Buja, Kai Zhang, and Linda Zhao · 2013
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Confidence intervals and hypothesis testing for high-dimensional regression
Adel Javanmard and Andrea Montanari · 2013
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On model selection consistency of penalized m-estimators: a geometric theory
Jason Lee, Yuekai Sun, and Jonathan E Taylor · 2013
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