activity
20072021
most citedOn Various Confidence Intervals Post-Model-Selection

44 citations · 116 across the 14 of their papers we have counts for

collaborators

16 papers

math.ST2021★ 4 cited

Valid Heteroskedasticity Robust Testing

Benedikt M. Pötscher, David Preinerstorfer

Tests based on heteroskedasticity robust standard errors are an important technique in econometric practice. Choosing the right critical value, however, is not simple at all: conve…

math.ST2020

How Reliable are Bootstrap-based Heteroskedasticity Robust Tests?

Benedikt M. Pötscher, David Preinerstorfer

We develop theoretical finite-sample results concerning the size of wild bootstrap-based heteroskedasticity robust tests in linear regression models. In particular, these results p…

stat.ME2018

Discussion on "Model Confidence Bounds for Variable Selection" by Yang Li, Yuetian Luo, Davide Ferrari, Xiaonan Hu, and Yichen Qin

Hannes Leeb, Benedikt M. Pötscher, Danijel Kivaranovic

This is a comment on the article mentioned in the title.

math.ST2017

Further Results on Size and Power of Heteroskedasticity and Autocorrelation Robust Tests, with an Application to Trend Testing

Benedikt M. Pötscher, David Preinerstorfer

We complement the theory developed in Preinerstorfer and Pötscher (2016) with further finite sample results on size and power of heteroskedasticity and autocorrelation robust tests…

math.ST2016

Controlling the Size of Autocorrelation Robust Tests

Benedikt M. Pötscher, David Preinerstorfer

Autocorrelation robust tests are notorious for suffering from size distortions and power problems. We investigate under which conditions the size of autocorrelation robust tests ca…

math.ST2014

Valid confidence intervals for post-model-selection predictors

François Bachoc, Hannes Leeb, Benedikt M. Pötscher

We consider inference post-model-selection in linear regression. In this setting, Berk et al.(2013) recently introduced a class of confidence sets, the so-called PoSI intervals, th…

math.ST2014★ 5 cited

On the Power of Invariant Tests for Hypotheses on a Covariance Matrix

David Preinerstorfer, Benedikt M. Pötscher

The behavior of the power function of autocorrelation tests such as the Durbin-Watson test in time series regressions or the Cliff-Ord test in spatial regression models has been in…

math.ST2014★ 44 cited

On Various Confidence Intervals Post-Model-Selection

Hannes Leeb, Benedikt M. Pötscher, Karl Ewald

We compare several confidence intervals after model selection in the setting recently studied by Berk et al. [Ann. Statist. 41 (2013) 802-837], where the goal is to cover not the t…

math.ST2013

On Size and Power of Heteroskedasticity and Autocorrelation Robust Tests

David Preinerstorfer, Benedikt M. Pötscher

Testing restrictions on regression coefficients in linear models often requires correcting the conventional F-test for potential heteroskedasticity or autocorrelation amongst the d…

math.ST2012★ 4 cited

Testing in the Presence of Nuisance Parameters: Some Comments on Tests Post-Model-Selection and Random Critical Values

Hannes Leeb, Benedikt M. Pötscher

We point out that the ideas underlying some test procedures recently proposed for testing post-model-selection (and for some other test problems) in the econometrics literature hav…

math.ST2011★ 9 cited

Distributional Results for Thresholding Estimators in High-Dimensional Gaussian Regression Models

Benedikt M. Pötscher, Ulrike Schneider

We study the distribution of hard-, soft-, and adaptive soft-thresholding estimators within a linear regression model where the number of parameters k can depend on sample size n a…

math.ST2010★ 1 cited

Non-Parametric Maximum Likelihood Density Estimation and Simulation-Based Minimum Distance Estimators

Florian Gach, Benedikt M. Pötscher

Indirect inference estimators (i.e., simulation-based minimum distance estimators) in a parametric model that are based on auxiliary non-parametric maximum likelihood density estim…

math.ST2009

Efficient Simulation-Based Minimum Distance Estimation and Indirect Inference

Richard Nickl, Benedikt M. Pötscher

Given a random sample from a parametric model, we show how indirect inference estimators based on appropriate nonparametric density estimators (i.e., simulation-based minimum dista…

math.ST2008★ 37 cited

Confidence Sets Based on Penalized Maximum Likelihood Estimators in Gaussian Regression

Benedikt M. Pötscher, Ulrike Schneider

Confidence intervals based on penalized maximum likelihood estimators such as the LASSO, adaptive LASSO, and hard-thresholding are analyzed. In the known-variance case, the finite-…

math.ST2007★ 10 cited

On the Distribution of Penalized Maximum Likelihood Estimators: The LASSO, SCAD, and Thresholding

Benedikt M. Potscher, Hannes Leeb

We study the distributions of the LASSO, SCAD, and thresholding estimators, in finite samples and in the large-sample limit. The asymptotic distributions are derived for both the c…

math.PR2007★ 2 cited

Learning Trigonometric Polynomials from Random Samples and Exponential Inequalities for Eigenvalues of Random Matrices

Karlheinz Groechenig, Benedikt M. Poetscher, Holger Rauhut

Motivated by problems arising in random sampling of trigonometric polynomials, we derive exponential inequalities for the operator norm of the difference between the sample second…