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Linear mixed-effects models are widely used in analyzing clustered or repeated measures data. We propose a quasi-likelihood approach for estimation and inference of the unknown parameters in linear mixed-effects models with high-dimensional…

统计方法学 · 统计学 2021-03-10 Sai Li , Tony T. Cai , Hongzhe Li

The debiased estimator is a crucial tool in statistical inference for high-dimensional model parameters. However, constructing such an estimator involves estimating the high-dimensional inverse Hessian matrix, incurring significant…

机器学习 · 统计学 2023-12-18 Jiyuan Tu , Weidong Liu , Xiaojun Mao , Mingyue Xu

We consider random sample splitting for estimation and inference in high dimensional generalized linear models, where we first apply the lasso to select a submodel using one subsample and then apply the debiased lasso to fit the selected…

统计方法学 · 统计学 2023-03-01 Omar Vazquez , Bin Nan

Asymptotic lower bounds for estimation play a fundamental role in assessing the quality of statistical procedures. In this paper we propose a framework for obtaining semi-parametric efficiency bounds for sparse high-dimensional models,…

统计理论 · 数学 2017-10-16 Jana Jankova , Sara van de Geer

We propose a definition for the average indirect effect of a binary treatment in the potential outcomes model for causal inference under cross-unit interference. Our definition is analogous to the standard definition of the average direct…

统计方法学 · 统计学 2022-01-13 Yuchen Hu , Shuangning Li , Stefan Wager

Regression models with both high-dimensional responses and covariates have attracted growing attention. Standard multivariate regression models become inadequate when the response variables depend not only on observed covariates but also on…

统计方法学 · 统计学 2026-05-01 Jing Ouyang , Chengyu Cui , Yunxiao Chen , Kean Ming Tan , Gongjun Xu

We address the challenge of estimation in the context of constant linear effect models with dense functional responses. In this framework, the conditional expectation of the response curve is represented by a linear combination of…

统计方法学 · 统计学 2024-10-07 Pratim Guha Niyogi , Ping-Shou Zhong

Interpreting a nonparametric regression model with many predictors is known to be a challenging problem. There has been renewed interest in this topic due to the extensive use of machine learning algorithms and the difficulty in…

机器学习 · 统计学 2018-09-11 Xiaoyu Liu , Jie Chen , Joel Vaughan , Vijayan Nair , Agus Sudjianto

This paper proposes a density-weighted average derivative estimator based on two noisy measures of a latent regressor. Both measures have classical errors with possibly asymmetric distributions. We show that the proposed estimator achieves…

计量经济学 · 经济学 2022-09-14 Hao Dong , Yuya Sasaki

The variance--covariance matrix plays a central role in the inferential theories of high-dimensional factor models in finance and economics. Popular regularization methods of directly exploiting sparsity are not directly applicable to many…

统计方法学 · 统计学 2012-03-15 Jianqing Fan , Yuan Liao , Martina Mincheva

We propose a new estimation method for heterogeneous causal effects which utilizes a regression discontinuity (RD) design for multiple datasets with different thresholds. The standard RD design is frequently used in applied researches, but…

计量经济学 · 经济学 2019-05-14 Takayuki Toda , Ayako Wakano , Takahiro Hoshino

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

In some causal inference scenarios, the treatment variable is measured inaccurately, for instance in epidemiology or econometrics. Failure to correct for the effect of this measurement error can lead to biased causal effect estimates.…

机器学习 · 计算机科学 2024-09-13 Antti Pöllänen , Pekka Marttinen

This paper considers estimation and inference for heterogeneous counterfactual effects with high-dimensional data. We propose a novel robust score for debiased estimation of the unconditional quantile regression (Firpo, Fortin, and Lemieux,…

计量经济学 · 经济学 2022-02-25 Yuya Sasaki , Takuya Ura , Yichong Zhang

We consider three problems in high-dimensional Gaussian linear mixed models. Without any assumptions on the design for the fixed effects, we construct an asymptotic $F$-statistic for testing whether a collection of random effects is zero,…

统计理论 · 数学 2019-07-30 Michael Law , Ya'acov Ritov

Inference in hierarchical nonlinear models needs careful consideration about targeting parameters that have either a conditional or population-average interpretation. For the special case of mixed-effects nonlinear sigmoidal models we…

应用统计 · 统计学 2017-07-11 Daniel Gerhard , Christian Ritz

How should researchers conduct causal inference when the outcome of interest is latent and measured imperfectly by multiple indicators? We develop a general nonparametric framework for identifying and estimating average treatment effects on…

统计方法学 · 统计学 2026-04-22 Jiawei Fu , Donald P. Green

Understanding variable dependence, particularly eliciting their statistical properties given a set of covariates, provides the mathematical foundation in practical operations management such as risk analysis and decision-making given…

统计方法学 · 统计学 2023-09-06 Yunyun Wang , Tatsushi Oka , Dan Zhu

A new matching method is proposed for the estimation of the average treatment effect of social policy interventions (e.g., training programs or health care measures). Given an outcome variable, a treatment and a set of pre-treatment…

统计理论 · 数学 2007-06-13 Stefano Iacus , Giuseppe Porro

In this paper, we propose a robust method to estimate the average treatment effects in observational studies when the number of potential confounders is possibly much greater than the sample size. We first use a class of penalized…

统计方法学 · 统计学 2018-12-21 Yang Ning , Sida Peng , Kosuke Imai