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In this paper, we propose a triple (or double-debiased) Lasso estimator for inference on a low-dimensional parameter in high-dimensional linear regression models. The estimator is based on a moment function that satisfies not only first-…

计量经济学 · 经济学 2026-03-23 Denis Chetverikov , Jesper R. -V. Sørensen , Aleh Tsyvinski

Inferring causal relationships or related associations from observational data can be invalidated by the existence of hidden confounding. We focus on a high-dimensional linear regression setting, where the measured covariates are affected…

统计方法学 · 统计学 2021-07-22 Zijian Guo , Domagoj Ćevid , Peter Bühlmann

Much theoretical and applied work has been devoted to high-dimensional regression with clean data. However, we often face corrupted data in many applications where missing data and measurement errors cannot be ignored. Loh and Wainwright…

统计理论 · 数学 2016-01-05 Abhirup Datta , Hui Zou

Sparse regression such as the Lasso has achieved great success in handling high-dimensional data. However, one of the biggest practical problems is that high-dimensional data often contain large amounts of missing values. Convex Conditioned…

机器学习 · 统计学 2019-06-20 Masaaki Takada , Hironori Fujisawa , Takeichiro Nishikawa

Selection of covariates is crucial in the estimation of average treatment effects given observational data with high or even ultra-high dimensional pretreatment variables. Existing methods for this problem typically assume sparse linear…

统计方法学 · 统计学 2023-03-20 Juan Chen , Yingchun Zhou

We consider the estimation of treatment effects in settings when multiple treatments are assigned over time and treatments can have a causal effect on future outcomes or the state of the treated unit. We propose an extension of the…

计量经济学 · 经济学 2021-06-18 Greg Lewis , Vasilis Syrgkanis

We consider the problem of estimating a low-dimensional parameter in high-dimensional linear regression. Constructing an approximately unbiased estimate of the parameter of interest is a crucial step towards performing statistical…

统计理论 · 数学 2021-07-30 Michael Celentano , Andrea Montanari

We present a novel method for variable selection in regression models when covariates are measured with error. The iterative algorithm we propose, MEBoost, follows a path defined by estimating equations that correct for covariate…

统计计算 · 统计学 2017-10-26 Benjamin Brown , Timothy Weaver , Julian Wolfson

We consider a high-dimensional regression model with a possible change-point due to a covariate threshold and develop the Lasso estimator of regression coefficients as well as the threshold parameter. Our Lasso estimator not only selects…

统计理论 · 数学 2019-08-23 Sokbae Lee , Myung Hwan Seo , Youngki Shin

In this paper, we propose a novel high-dimensional time-varying coefficient estimator for noisy high-frequency observations with a factor structure. In high-frequency finance, we often observe that noises dominate the signal of underlying…

统计方法学 · 统计学 2026-05-12 Minseok Shin , Donggyu Kim

In empirical studies with time-to-event outcomes, investigators often leverage observational data to conduct causal inference on the effect of exposure when randomized controlled trial data is unavailable. Model misspecification and lack of…

统计方法学 · 统计学 2023-05-05 Shenbo Xu , Bang Zheng , Bowen Su , Stan Finkelstein , Roy Welsch , Kenney Ng , Ioanna Tzoulaki , Zach Shahn

We propose a doubly robust inference method for causal effects of continuous treatment variables, under unconfoundedness and with nonparametric or high-dimensional nuisance functions. Our double debiased machine learning (DML) estimators…

计量经济学 · 经济学 2023-10-02 Kyle Colangelo , Ying-Ying Lee

We provide a principled way for investigators to analyze randomized experiments when the number of covariates is large. Investigators often use linear multivariate regression to analyze randomized experiments instead of simply reporting the…

统计理论 · 数学 2022-06-08 Adam Bloniarz , Hanzhong Liu , Cun-Hui Zhang , Jasjeet Sekhon , Bin Yu

The Arellano-Bond estimator is a fundamental method for dynamic panel data models, widely used in practice. It can be severely biased when the time series dimension of the data, $T$, is long. The source of the bias is the large degree of…

计量经济学 · 经济学 2026-03-20 Victor Chernozhukov , Iván Fernández-Val , Chen Huang , Weining Wang

In this paper, we develop a novel high-dimensional coefficient estimation procedure based on high-frequency data. Unlike usual high-dimensional regression procedures such as LASSO, we additionally handle the heavy-tailedness of…

统计方法学 · 统计学 2025-10-22 Minseok Shin , Donggyu Kim

This study investigates the estimation and the statistical inference about Conditional Average Treatment Effects (CATEs), which have garnered attention as a metric representing individualized causal effects. In our data-generating process,…

统计方法学 · 统计学 2024-03-07 Masahiro Kato

Completely randomized experiment is the gold standard for causal inference. When the covariate information for each experimental candidate is available, one typical way is to include them in covariate adjustments for more accurate treatment…

统计方法学 · 统计学 2025-06-10 Xin Lu , Fan Yang , Yuhao Wang

This paper proposes a Lasso-type estimator for a high-dimensional sparse parameter identified by a single index conditional moment restriction (CMR). In addition to this parameter, the moment function can also depend on a nuisance function,…

统计理论 · 数学 2021-09-14 Denis Nekipelov , Vira Semenova , Vasilis Syrgkanis

We propose double/debiased machine learning approaches to infer (at the parametric rate) the parametric component of a logistic partially linear model with the binary response following a conditional logistic model of a low dimensional…

统计方法学 · 统计学 2020-10-01 Molei Liu , Yi Zhang , Doudou Zhou

In this paper, we propose a new method for estimation and constructing confidence intervals for low-dimensional components in a high-dimensional model. The proposed estimator, called Constrained Lasso (CLasso) estimator, is obtained by…

统计方法学 · 统计学 2017-04-19 Yun Yang
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