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Central limit theorems and bootstrap in high dimensions

Chernozhukov, Victor; Chetverikov, Denis; Kato, Kengo - 2016 - This version: May 31, 2016

sums hit rectangles and sparsely convex sets. Specifically, we derive Gaussian and bootstrap approximations for the … all rectangles, or more generally, sparsely convex sets, and does not require any restrictions on the correlation among … functions depend nontrivially only on a small subset of their arguments, with rectangles being a special case. …

Persistent link: https://www.econbiz.de/10011525777

Central limit theorems and multiplier bootstrap when p is much larger than n

Chernozhukov, Victor; Chetverikov, Denis; Kato, Kengo - 2012

We derive a central limit theorem for the maximum of a sum of high dimensional random vectors. More precisely, we establish condi- tions under which the distribution of the maximum is approximated by the maximum of a sum of the Gaussian random vectors with the same covariance matrices as the...

Persistent link: https://www.econbiz.de/10009692028

Nearly optimal central limit theorem and bootstrap approximations in high dimensions

Chernozhukov, Victor; Četverikov, Denis N.; Koike, Yuta - 2021

high-dimensional centered random vectors X1, . . . , Xn over the class of rectangles in the case when the covariance matrix …

Persistent link: https://www.econbiz.de/10012482915

Uniform confidence bands for functions estimated nonparametrically with instrumental variables

Horowitz, Joel; Lee, Sokbae - 2010

This paper is concerned with developing uniform confidence bands for functions estimated nonparametrically with instrumental variables. We show that a sieve nonparametric instrumental variables estimator is pointwise asymptotically normally mental variables estimator is pointwise asymptotically...

Persistent link: https://www.econbiz.de/10003990115

Testing for a general class of functional inequalities

Lee, Sokbae; Song, Kyungchul; Whang, Yoon-jae - 2014

In this paper, we propose a general method for testing inequality restrictions on nonparametric functions. Our framework includes many nonparametric testing problems in a uni ed framework, with a number of possible applications in auction models, game theoretic models, wage inequality, and...

Persistent link: https://www.econbiz.de/10010254852

Identification and shape restrictions in nonparametric instrumental variables estimation

Freyberger, Joachim; Horowitz, Joel - 2013

This paper is concerned with inference about an unidentified linear function, L(g), where the function g satisfies the relation Y=g(X)+U; E(U |W)=0. In this relation, Y is the dependent variable, X is a possibly endogenous explanatory variable, W is an instrument for X and U is an unobserved...

Persistent link: https://www.econbiz.de/10009761386

A bootstrap test for instrument validity in heterogeneous treatment effect models

Kitagawa, Toru - 2013

This paper develops a specification test for the instrument validity conditions in the heterogeneous treatment effect model with a binary treatment and a discrete instrument. A necessary testable implication for the joint restriction of instrument exogeneity and instrument monotonicity is given...

Persistent link: https://www.econbiz.de/10010190476

Likelihood inference in some finite mixture models

Chen, Xiaohong; Ponomareva, Maria; Tamer, Elie T. - 2013 - Current version May 6, 2013

Parametric mixture models are commonly used in applied work, especially empiri- cal economics, where these models are often employed to learn for example about the proportions of various types in a given population. This paper examines the inference question on the proportions (mixing...

Persistent link: https://www.econbiz.de/10009742927

Testing regression monotonicity in econometric models

Chetverikov, Denis - 2012

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 econometric methods for testing this prediction in empirical analysis. This paper develops a general nonparametric...

Persistent link: https://www.econbiz.de/10009667989

Inference for functions of partially identified parameters in moment inequality models

Bugni, Federico A.; Canay, Ivan A.; Shi, Xiaoxia - 2014 - Ver. 10.2: May 4, 2014

This paper introduces a bootstrap-based inference method for functions of the parameter vector in a moment (in)equality model. As a special case, our method yields marginal confidence sets for individual coordinates of this parameter vector. Our inference method controls asymptotic size...

Persistent link: https://www.econbiz.de/10010348998