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We propose new inference tools for forward stepwise regression, least angle regression, and the lasso.
Efron, B., Hastie, T., Johnstone, I. & Tibshirani, R. (2004), ‘Least angle regression’, Annals of Statistics
2004
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Third edition
Lehmann, E. & Romano, J. (2005), Testing Statistical Hypotheses · 2005
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Wasserman, L. & Roeder, K. (2009), ‘High-dimensional variable selection’, Annals of Statistics
2009
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Meinshausen, N. & Buhlmann, P. (2010), ‘Stability selection’, Journal of the Royal Statistical Society: Series B
2010
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Minnier, J., Tian, L. & Cai, T. (2011), ‘A perturbation method for inference on regularized regression estimates’, Journal of the American Statistical Association
2011
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Berk, R., Brown, L., Buja, A., Zhang, K. & Zhao, L. (2013), ‘Valid post-selection inference’, Annals of Statistics
2013
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Buhlmann, P. (2013), ‘Statistical significance in high-dimensional linear models’, Bernoulli
2013
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arXiv: 1306.3171
Javanmard, A. & Montanari, A. (2013 a · 2013
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arXiv: 1301.4240
Javanmard, A. & Montanari, A. (2013 b · 2013
Cited alongside, same era.
arXiv: 1311.6238
Lee, J., Sun, D., Sun, Y. & Taylor, J. (2013), Exact post-selection inference with the lasso · 2013
Cited alongside, same era.
Tibshirani, R. J. (2013), ‘The lasso problem and uniqueness’, Electronic Journal of Statistics
2013
Cited alongside, same era.
Buja, A. & Brown, L. (2014), ‘Discussion: A significance test for the lasso’, Annals of Statistics
2014
Cited alongside, same era.
arXiv: 1410.8260
Choi, Y., Taylor, J. & Tibshirani, R. (2014), Selecting the number of principal components: estimation of the true rank of a noisy matrix · 2014
Cited alongside, same era.
arXiv: 1410.2597
Fithian, W., Sun, D. & Taylor, J. (2014), Optimal inference after model selection · 2014
Cited alongside, same era.
Lockhart, R., Taylor, J., Tibshirani, R. J. & Tibshirani, R. (2014), ‘A significance test for the lasso’, Annals of Statistics
2014
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arXiv: 1405.3920
Loftus, J. & Taylor, J. (2014), A significance test for forward stepwise model selection · 2014
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arXiv: 1405.3340
Reid, S., Taylor, J. & Tibshirani, R. (2014), Post-selection point and interval estimation of signal sizes in Gaussian samples · 2014
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van de Geer, S., Buhlmann, P., Ritov, Y. & Dezeure, R. (2014), ‘On asymptotically optimal confidence regions and tests for high-dimensional models’, Annals of Statistics
2014
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Zhang, C.-H. & Zhang, S. (2014), ‘Confidence intervals for low dimensional parameters in high dimensional linear models’, Journal of the Royal Statistical Society: Series B
2014
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Lee, J. & Taylor, J. (2014), ‘Exact post model selection inference for marginal screening’, Advances in Neural Information Processing Systems
2014
Cited alongside, same era.
Fithian, W., Taylor, J., Tibshirani, R. J. & Tibshirani, R. (2015), Adaptive sequential model selection · 2015
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To appear
G’Sell, M., Wager, S., Chouldechova, A. & Tibshirani, R. (2015), ‘Sequential selection procedures and false discovery rate control’, Journal of the Royal Statistical Society: Series B · 2015
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