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Several new methods have been proposed for performing valid inference after model selection. An older method is sampling splitting: use part of the data for model selection and part for inference. In this paper we revisit sample splitting…

统计理论 · 数学 2018-04-04 Alessandro Rinaldo , Larry Wasserman , Max G'Sell , Jing Lei

We reconcile the two worlds of dense and sparse modeling by exploiting the positive aspects of both. We employ a factor model and assume {the dynamic of the factors is non-pervasive while} the idiosyncratic term follows a sparse vector…

统计方法学 · 统计学 2022-05-25 Jonas Krampe , Luca Margaritella

This paper develops a general causal inference method for treatment effects models with noisily measured confounders. The key feature is that a large set of noisy measurements are linked with the underlying latent confounders through an…

计量经济学 · 经济学 2021-10-14 Yingjie Feng

This paper considers inference for a function of a parameter vector in a partially identified model with many moment inequalities. This framework allows the number of moment conditions to grow with the sample size, possibly at exponential…

统计理论 · 数学 2018-07-02 Alexandre Belloni , Federico Bugni , Victor Chernozhukov

We consider continuous-time models with a large panel of moment conditions, where the structural parameter depends on a set of characteristics, whose effects are of interest. The leading example is the linear factor model in financial…

计量经济学 · 经济学 2018-12-04 Yuan Liao , Xiye Yang

We investigate properties of a bootstrap-based methodology for testing hypotheses about equality of certain characteristics of the distributions between different populations in the context of functional data. The suggested testing…

统计理论 · 数学 2016-09-29 Efstathios Paparoditis , Theofanis Sapatinas

Factors models are routinely used to analyze high-dimensional data in both single-study and multi-study settings. Bayesian inference for such models relies on Markov Chain Monte Carlo (MCMC) methods which scale poorly as the number of…

统计方法学 · 统计学 2025-04-29 Blake Hansen , Alejandra Avalos-Pacheco , Massimiliano Russo , Roberta De Vito

This paper considers linear panel data models where the dependence of the regressors and the unobservables is modelled through a factor structure. The asymptotic setting is such that the number of time periods and the sample size both go to…

统计理论 · 数学 2020-11-25 Jad Beyhum , Eric Gautier

We propose a general method to carry out a valid Bayesian analysis of a finite-dimensional `targeted' parameter in the presence of a finite-dimensional nuisance parameter. We apply our methods to causal inference based on estimating…

统计方法学 · 统计学 2026-02-03 Magid Sabbagh , David A. Stephens

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

Latent variable models are popularly used to measure latent factors (e.g., abilities and personalities) from large-scale assessment data. Beyond understanding these latent factors, the covariate effect on responses controlling for latent…

统计方法学 · 统计学 2026-01-12 Jing Ouyang , Chengyu Cui , Kean Ming Tan , Gongjun Xu

Estimating causal effects from large experimental and observational data has become increasingly prevalent in both industry and research. The bootstrap is an intuitive and powerful technique used to construct standard errors and confidence…

统计方法学 · 统计学 2023-02-07 Matthew Kosko , Lin Wang , Michele Santacatterina

We establish oracle inequalities for a version of the Lasso in high-dimensional fixed effects dynamic panel data models. The inequalities are valid for the coefficients of the dynamic and exogenous regressors. Separate oracle inequalities…

统计理论 · 数学 2016-01-05 Anders Bredahl Kock , Haihan Tang

Detecting influential features in non-linear and/or high-dimensional data is a challenging and increasingly important task in machine learning. Variable selection methods have thus been gaining much attention as well as post-selection…

We propose a new measure of variable importance in high-dimensional regression based on the change in the LASSO solution path when one covariate is left out. The proposed procedure provides a novel way to calculate variable importance and…

统计方法学 · 统计学 2020-05-11 Xiangyang Cao , Karl Gregory , Dewei Wang

Conditional selective inference requires an exact characterization of the selection event, which is often unavailable except for a few examples like the lasso. This work addresses this challenge by introducing a generic approach to estimate…

统计方法学 · 统计学 2023-08-22 Sifan Liu , Jelena Markovic-Voronov , Jonathan Taylor

Inference methods for computing confidence intervals in parametric settings usually rely on consistent estimators of the parameter of interest. However, it may be computationally and/or analytically burdensome to obtain such estimators in…

统计方法学 · 统计学 2024-09-20 Samuel Orso , Mucyo Karemera , Maria-Pia Victoria-Feser , Stéphane Guerrier

In this paper, we consider the nonstationary matrix-valued time series with common stochastic trends. Unlike the traditional factor analysis which flattens matrix observations into vectors, we adopt a matrix factor model in order to fully…

计量经济学 · 经济学 2025-08-25 Degui Li , Yayi Yan , Qiwei Yao

It is more and more frequently the case in applications that the data we observe come from one or more random variables taking values in an infinite dimensional space, e.g. curves. The need to have tools adapted to the nature of these data…

统计理论 · 数学 2023-06-01 Angelina Roche

In many applications of finance, biology and sociology, complex systems involve entities interacting with each other. These processes have the peculiarity of evolving over time and of comprising latent factors, which influence the system…

机器学习 · 统计学 2018-08-03 Federico Tomasi , Veronica Tozzo , Saverio Salzo , Alessandro Verri