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20122024
most citedGaussian approximations and multiplier bootstrap for maxima of sums of high-dimensional random vectors

322 citations · 816 across the 25 of their papers we have counts for

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5 papers · 1 filter

math.ST2012★ 322 cited

Gaussian approximations and multiplier bootstrap for maxima of sums of high-dimensional random vectors

Victor Chernozhukov, Denis Chetverikov, Kengo Kato

We derive a Gaussian approximation result for the maximum of a sum of high-dimensional random vectors. Specifically, we establish conditions under which the distribution of the max…

math.PR2012★ 185 cited

Gaussian approximation of suprema of empirical processes

Victor Chernozhukov, Denis Chetverikov, Kengo Kato

This paper develops a new direct approach to approximating suprema of general empirical processes by a sequence of suprema of Gaussian processes, without taking the route of approx…

math.ST2012★ 51 cited

Testing Regression Monotonicity in Econometric Models

Denis Chetverikov

Monotonicity is a key qualitative prediction of a wide array of economic models derived via robust comparative statics. It is therefore important to design effective and practical…

stat.ME2012★ 1 cited

Some New Asymptotic Theory for Least Squares Series: Pointwise and Uniform Results

Alexandre Belloni, Victor Chernozhukov, Denis Chetverikov +1

In applications it is common that the exact form of a conditional expectation is unknown and having flexible functional forms can lead to improvements. Series method offers that by…

stat.AP2012★ 5 cited

Adaptive Test of Conditional Moment Inequalities

Denis Chetverikov

In this paper, I construct a new test of conditional moment inequalities, which is based on studentized kernel estimates of moment functions with many different values of the bandw…