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Understanding statistical inference under possibly non-sparse high-dimensional models has gained much interest recently. For a given component of the regression coefficient, we show that the difficulty of the problem depends on the sparsity…

统计理论 · 数学 2022-08-22 Jelena Bradic , Jianqing Fan , Yinchu Zhu

Score tests have the advantage of requiring estimation alone of the model restricted by the null hypothesis, which often is much simpler than models defined under the alternative hypothesis. This is typically so when the alternative…

计量经济学 · 经济学 2021-07-14 Giuseppe Cavaliere , Zeng-Hua Lu , Anders Rahbek , Yuhong Yang

The synthetic control method is often applied to problems with one treated unit and a small number of control units. A common inferential task in this setting is to test null hypotheses regarding the average treatment effect on the treated.…

统计方法学 · 统计学 2025-04-22 Lihua Lei , Timothy Sudijono

This paper proposes a specification test for the conventional distributional assumptions of error terms in binary choice models, focusing on its tail properties. Based on extreme value theory, we first establish that the tail index of the…

计量经济学 · 经济学 2026-03-31 Ting Ji , Laura Liu , Yulong Wang , Jiahe Xing

This note presents a method that provides optimal monotone conditional error functions for a large class of adaptive two stage designs. The presented method builds on a previously developed general theory for optimal adaptive two stage…

统计方法学 · 统计学 2024-10-08 Werner Brannath , Morten Dreher , Martin Scharpenberg

We propose a general framework for the specification testing of continuous treatment effect models. We assume a general residual function, which includes the average and quantile treatment effect models as special cases. The null models are…

计量经济学 · 经济学 2021-09-06 Wei Huang , Oliver Linton , Zheng Zhang

Fixed effect estimators of nonlinear panel data models suffer from the incidental parameter problem. This leads to two undesirable consequences in applied research: (1) point estimates are subject to large biases, and (2) confidence…

计量经济学 · 经济学 2022-04-18 Shuowen Chen

Model checking plays an important role in linear regression as model misspecification seriously affects the validity and efficiency of regression analysis. In practice, model checking is often performed by subjectively evaluating the plot…

统计理论 · 数学 2019-11-19 Rok Blagus , Jakob Peterlin , Janez Stare

We consider estimation and inference for a regression coefficient in panels with interactive fixed effects (i.e., with a factor structure). We demonstrate that existing estimators and confidence intervals (CIs) can be heavily biased and…

计量经济学 · 经济学 2025-05-13 Timothy B. Armstrong , Martin Weidner , Andrei Zeleneev

Random-effects models are frequently used to synthesise information from different studies in meta-analysis. While likelihood-based inference is attractive both in terms of limiting properties and of implementation, its application in…

统计方法学 · 统计学 2018-02-16 Ioannis Kosmidis , Annamaria Guolo , Cristiano Varin

In this paper we revisit the binary hypothesis testing problem with one-sided compression. Specifically we assume that the distribution in the null hypothesis is a mixture distribution of iid components. The distribution under the…

信息论 · 计算机科学 2022-07-07 Minh Thanh Vu

Suppose that a data analyst wishes to report the results of a least squares linear regression only if the overall null hypothesis, $H_0^{1:p}: \beta_1= \beta_2 = \ldots = \beta_p=0$, is rejected. This practice, which we refer to as…

统计方法学 · 统计学 2026-05-12 Olivia McGough , Daniela Witten , Daniel Kessler

The statistics and machine learning communities have recently seen a growing interest in classification-based approaches to two-sample testing. The outcome of a classification-based two-sample test remains a rejection decision, which is not…

统计理论 · 数学 2022-11-15 Loris Michel , Jeffrey Näf , Nicolai Meinshausen

Identification of standard mediated effects such as the natural indirect effect relies on heavy causal assumptions. By circumventing such assumptions, so-called randomized interventional indirect effects have gained popularity in the…

统计方法学 · 统计学 2023-10-03 Caleb H. Miles

We consider the problem of estimating the proportion $\theta$ of true null hypotheses in a multiple testing context. The setup is classically modeled through a semiparametric mixture with two components: a uniform distribution on interval…

应用统计 · 统计学 2013-01-09 Van Hanh Nguyen , Catherine Matias

We consider the problem of hypothesis testing in the situation when the first hypothesis is simple and the second one is local one-sided composite. We describe the choice of the thresholds and the power functions of the Score Function test,…

统计理论 · 数学 2015-02-26 Serguei Dachian , Yury Kutoyants , Lin Yang

We consider estimating the proportion of random variables for two types of composite null hypotheses: (i) the means of the random variables belonging to a non-empty, bounded interval; (ii) the means of the random variables belonging to an…

统计理论 · 数学 2025-03-21 Xiongzhi Chen

This paper considers inference in a linear instrumental variable regression model with many potentially weak instruments, in the presence of heterogeneous treatment effects. I first show that existing test procedures, including those that…

计量经济学 · 经济学 2025-04-24 Luther Yap

Risk-adjusted quality measures are used to evaluate healthcare providers while controlling for factors beyond their control. Existing healthcare provider profiling approaches typically assume that the risk adjustment is perfect and the…

This paper combines causal mediation analysis with double machine learning to control for observed confounders in a data-driven way under a selection-on-observables assumption in a high-dimensional setting. We consider the average indirect…

计量经济学 · 经济学 2021-02-17 Helmut Farbmacher , Martin Huber , Lukáš Lafférs , Henrika Langen , Martin Spindler