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In this paper, we consider a Bayesian bi-level variable selection problem in high-dimensional regressions. In many practical situations, it is natural to assign group membership to each predictor. Examples include that genetic variants can…

应用统计 · 统计学 2018-03-29 Mingxuan Cai , Mingwei Dai , Jingsi Ming , Heng Peng , Jin Liu , Can Yang

In this paper, we propose a new stochastic optimization algorithm for Bayesian inference based on multilevel Monte Carlo (MLMC) methods. In Bayesian statistics, biased estimators of the model evidence have been often used as stochastic…

机器学习 · 统计学 2021-02-26 Kei Ishikawa , Takashi Goda

Support vector machine (SVM) is a powerful classification method that has achieved great success in many fields. Since its performance can be seriously impaired by redundant covariates, model selection techniques are widely used for SVM…

机器学习 · 统计学 2022-07-25 Chaoxia Yuan , Chao Ying , Zhou Yu , Fang Fang

We examine the performance of efficient and AIPW estimators under two-phase sampling when the complete-data model is nearly correctly specified, in the sense that the misspecification is not reliably detectable from the data by any possible…

统计理论 · 数学 2017-07-20 Thomas Lumley

This article considers inference in linear instrumental variables models with many regressors, all of which could be endogenous. We propose the STIV estimator. Identification robust confidence sets are derived by solving linear programs. We…

统计理论 · 数学 2021-08-09 Eric Gautier , Christiern Rose

Variational Bayes (VB), a method originating from machine learning, enables fast and scalable estimation of complex probabilistic models. Thus far, applications of VB in discrete choice analysis have been limited to mixed logit models with…

统计方法学 · 统计学 2020-01-17 Rico Krueger , Prateek Bansal , Michel Bierlaire , Ricardo A. Daziano , Taha H. Rashidi

Minimizing the Mean Squared Error (MSE) is a key objective in machine learning and is commonly used for imputing missing values. While this approach provides accurate point estimates, it introduces systematic biases in downstream analyses.…

机器学习 · 统计学 2026-05-06 Stef van Buuren

Instrumental variable (IV) methods offer a valuable approach to account for outcome data missing not-at-random. A valid missing data instrument is a measured factor which (i) predicts the nonresponse process and (ii) is independent of the…

Instrumental variables are commonly used to estimate effects of a treatment afflicted by unmeasured confounding, and in practice instruments are often continuous (e.g., measures of distance, or treatment preference). However, available…

统计方法学 · 统计学 2018-07-05 Edward H. Kennedy , Scott A. Lorch , Dylan S. Small

This paper proposes three novel test procedures that yield valid inference in an environment with many weak instrumental variables (MWIV). It is observed that the t statistic of the jackknife instrumental variable estimator (JIVE) has an…

计量经济学 · 经济学 2023-11-28 Luther Yap

Instrumental variables (eliminate the bias that afflicts least-squares identification of dynamical systems through noisy data, yet traditionally relies on external instruments that are seldom available for nonlinear time series data. We…

统计方法学 · 统计学 2026-05-11 Simon Kuang , Xinfan Lin

For the over-identified linear instrumental variables model, researchers commonly report the 2SLS estimate along with the robust standard error and seek to conduct inference with these quantities. If errors are homoskedastic, one can…

计量经济学 · 经济学 2023-11-28 David S. Lee , Justin McCrary , Marcelo J. Moreira , Jack Porter , Luther Yap

This paper offers a new approach to address the model uncertainty in (potentially) divergent-dimensional single-index models (SIMs). We propose a model-averaging estimator based on cross-validation, which allows the dimension of covariates…

统计方法学 · 统计学 2022-06-14 Jiahui Zou , Wendun Wang , Xinyu Zhang , Guohua Zou

In observational studies, instrumental variable (IV) methods are commonly applied when there exists some unmeasured covariates. In Mendelian Randomization (MR), constructing an allele score by using many single nucleotide polymorphisms…

统计方法学 · 统计学 2022-08-22 Shunichiro Orihara

Instrumental variable analysis is a powerful tool for estimating causal effects when randomization or full control of confounders is not possible. The application of standard methods such as 2SLS, GMM, and more recent variants are…

机器学习 · 统计学 2020-06-08 Andrew Bennett , Nathan Kallus , Tobias Schnabel

This paper develops a semiparametric Bayesian instrumental variable analysis method for estimating the causal effect of an endogenous variable when dealing with unobserved confounders and measurement errors with partly interval-censored…

统计方法学 · 统计学 2025-01-28 Elvis Han Cui , Xuyang Lu , Jin Zhou , Hua Zhou , Gang Li

Instrumental variables are widely used to adjust for measurement error bias when assessing associations of health outcomes with ME prone independent variables. IV approaches addressing ME in longitudinal models are well established, but few…

统计方法学 · 统计学 2025-09-16 Xiwei Chen , Ufuk Beyaztas , Caihong Qin , Heyang Ji , Gilson Honvoh , Roger S. Zoh , Lan Xue , Carmen D. Tekwe

Instrumental variables (IV) regression is a popular method for the estimation of the endogenous treatment effects. Conventional IV methods require all the instruments are relevant and valid. However, this is impractical especially in…

计量经济学 · 经济学 2020-06-29 Qingliang Fan , Yaqian Wu

In this paper, a Mixed Data Sampling (MIDAS) model is studied when both low and high frequency variables are contaminated with measurement error. It is shown that the profile likelihood estimator becomes inconsistent in the presence of…

统计方法学 · 统计学 2026-04-28 Sukhbir Kaur , Sukhbir Singh , Kanchan Jain , Pooja Soni

This paper is concerned with the findings related to the robust first-stage F-statistic in the Monte Carlo analysis of Andrews (2018), who found in a heteroskedastic grouped-data design that even for very large values of the robust…

计量经济学 · 经济学 2022-08-04 Frank Windmeijer