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20112026
most citedGaussian approximations and multiplier bootstrap for maxima of sums of high-dimensional random vectors

322 citations · 1.3k across the 48 of their papers we have counts for

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Showing 2013Show all

5 papers · 1 filter

math.ST2013★ 1 cited

Inference on causal and structural parameters using many moment inequalities

Victor Chernozhukov, Denis Chetverikov, Kengo Kato

This paper considers the problem of testing many moment inequalities where the number of moment inequalities, denoted by , is possibly much larger than the sample size . Ther…

math.ST2013★ 4 cited

Valid Post-Selection Inference in High-Dimensional Approximately Sparse Quantile Regression Models

Alexandre Belloni, Victor Chernozhukov, Kengo Kato

This work proposes new inference methods for a regression coefficient of interest in a (heterogeneous) quantile regression model. We consider a high-dimensional model where the num…

math.ST2013★ 185 cited

Uniform Post Selection Inference for LAD Regression and Other Z-estimation problems

Alexandre Belloni, Victor Chernozhukov, Kengo Kato

We develop uniformly valid confidence regions for regression coefficients in a high-dimensional sparse median regression model with homoscedastic errors. Our methods are based on a…

math.ST2013★ 107 cited

Anti-concentration and honest, adaptive confidence bands

Victor Chernozhukov, Denis Chetverikov, Kengo Kato

Modern construction of uniform confidence bands for nonparametric densities (and other functions) often relies on the classical Smirnov-Bickel-Rosenblatt (SBR) condition; see, for…

math.PR2013

Comparison and anti-concentration bounds for maxima of Gaussian random vectors

Victor Chernozhukov, Denis Chetverikov, Kengo Kato

Slepian and Sudakov-Fernique type inequalities, which compare expectations of maxima of Gaussian random vectors under certain restrictions on the covariance matrices, play an impor…