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Biometrika, ISSN 0006-3444, 12/2011, Volume 98, Issue 4, pp. 791 - 806
We propose a pivotal method for estimating high-dimensional sparse linear regression models, where the overall number of regressors p is large, possibly much... 
Conic sections | Linear regression | Applied mathematics | Least squares | Eigenvalues | Regression analysis | Estimators | Consistent estimators | Oracles | Estimation methods | Moderate deviation theory | High-dimensional sparse model | Conic programming | REGRESSION | CONSISTENCY | INEQUALITIES | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | STATISTICS & PROBABILITY | SELECTION
Journal Article
Journal Article
The Annals of Statistics, ISSN 0090-5364, 12/2013, Volume 41, Issue 6, pp. 2786 - 2819
Journal Article
Journal of Econometrics, ISSN 0304-4076, 2008, Volume 142, Issue 1, pp. 379 - 398
Journal Article
The Journal of Economic Perspectives, ISSN 0895-3309, 4/2014, Volume 28, Issue 2, pp. 29 - 50
Journal Article
Journal of Business & Economic Statistics: Special Issue on Big Data, ISSN 0735-0015, 10/2016, Volume 34, Issue 4, pp. 590 - 605
Journal Article
Biometrika, ISSN 0006-3444, 2015, Volume 102, Issue 1, pp. 77 - 94
We develop uniformly valid confidence regions for regression coefficients in a high-dimensional sparse median regression model with homoscedastic errors. Our... 
Instrument | Uniformly valid inference | Score test | Sparsity | Z-estimation | Post-selection inference | DANTZIG SELECTOR | APPROXIMATION | P2/N | STATISTICS & PROBABILITY | QUANTILE REGRESSION | PARAMETERS | LINEAR-MODELS | ASYMPTOTIC-BEHAVIOR | SPARSE MODELS | LASSO | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY
Journal Article
Journal Article
The Annals of Statistics, ISSN 0090-5364, 4/2005, Volume 33, Issue 2, pp. 806 - 839
Journal Article
Annals of Probability, ISSN 0091-1798, 07/2017, Volume 45, Issue 4, pp. 2309 - 2352
Journal Article
ANNALS OF STATISTICS, ISSN 0090-5364, 02/2011, Volume 39, Issue 1, pp. 82 - 130
We consider median regression and, more generally, a possibly infinite collection of quantile regressions in high-dimensional sparse models. In these models,... 
RECOVERY | DANTZIG SELECTOR | ESTIMATORS | LASSO | quantile regression | STATISTICS & PROBABILITY | sparse models | Median regression | AGGREGATION
Journal Article
Annals of Statistics, ISSN 0090-5364, 02/2017, Volume 45, Issue 1, pp. 223 - 256
Journal Article