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In this paper, we derive central limit and bootstrap theorems for probabilities that centered high-dimensional vector sums hit rectangles and sparsely convex sets. Specifically, we derive Gaussian and bootstrap approximations for the probabilities that a root-n rescaled sample average of Xi is...
Persistent link: https://www.econbiz.de/10011594349
In this paper, we derive central limit and bootstrap theorems for probabilities that centered high-dimensional vector sums hit rectangles and sparsely convex sets. Specifically, we derive Gaussian and bootstrap approximations for the probabilities that a root-n rescaled sample average of Xi is...
Persistent link: https://www.econbiz.de/10011445703
We develop results for the use of LASSO and Post-LASSO methods to form first-stage predictions and estimate optimal … provide conditions under which these estimators are asymptotically oracle-efficient. In simulation experiments, the LASSO …. In an empirical example dealing with the effect of judicial eminent domain decisions on economic outcomes, the LASSO …
Persistent link: https://www.econbiz.de/10010288391
selected by first-step penalized estimators, typically LASSO. It is well known that LASSO can estimate the regression function … at nearly the oracle rate, and is thus hard to improve upon. We show that post-LASSO performs at least as well as LASSO … the LASSO-based model selection fails” in the sense of missing some components of the true” regression model. By the true …
Persistent link: https://www.econbiz.de/10010288394
We consider estimation of policy relevant treatment effects in a data-rich environ ment where there may be many more control variables available than there are observations. In addition to allowing many control variables, the setting we consider allows heterogeneous treatment effects, endogenous...
Persistent link: https://www.econbiz.de/10010368188
continuum of target parameters is of interest and the Lasso-type or post-Lasso type methods are used to estimate a continuum of … establish rate and consistency results for continua of Lasso or post-Lasso type methods for estimating continua of the (nuisance …
Persistent link: https://www.econbiz.de/10010368202
most informative moment conditions, motivating the following approach to remove the bias: First, apply LASSO to the cross …
Persistent link: https://www.econbiz.de/10014581834
random forests, lasso, ridge, deep neural nets, boosted trees, as well as various hybrids and aggregates of these methods (e ….g. a hybrid of a random forest and lasso). We illustrate the application of the general theory through application to the …
Persistent link: https://www.econbiz.de/10011594359
of regressions with many regressors using LASSO (Least Absolute Shrinkage and Selection Operator) is applied for variable …
Persistent link: https://www.econbiz.de/10012146373
of large-scale regressions with LASSO is applied to reduce the dimensionality, and an overall penalty level is carefully …
Persistent link: https://www.econbiz.de/10011941488