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The method of instrumental variables provides a fundamental and practical tool for causal inference in many empirical studies where unmeasured confounding between the treatments and the outcome is present. Modern data such as the genetical…

统计方法学 · 统计学 2022-10-28 Ziang Niu , Yuwen Gu , Wei Li

This paper deals with the dimension reduction for high-dimensional time series based on common factors. In particular we allow the dimension of time series $p$ to be as large as, or even larger than, the sample size $n$. The estimation for…

统计理论 · 数学 2010-06-15 Clifford Lam , Qiwei Yao , Neil Bathia

Estimation of high-dimensional covariance matrices in latent factor models is an important topic in many fields and especially in finance. Since the number of financial assets grows while the estimation window length remains of limited…

统计金融 · 定量金融 2024-07-08 Lucija Žignić , Stjepan Begušić , Zvonko Kostanjčar

This paper studies linear reconstruction of partially observed functional data which are recorded on a discrete grid. We propose a novel estimation approach based on approximate factor models with increasing rank taking into account…

统计理论 · 数学 2024-05-22 Maximilian Ofner , Siegfried Hörmann

Many scientific questions in biomedical, environmental, and psychological research involve understanding the effects of multiple factors on outcomes. While factorial experiments are ideal for this purpose, randomized controlled treatment…

统计方法学 · 统计学 2025-12-03 Ruoqi Yu , Peng Ding

This paper studies the estimation of characteristic-based quantile factor models where the factor loadings are unknown functions of observed individual characteristics while the idiosyncratic error terms are subject to conditional quantile…

计量经济学 · 经济学 2023-04-27 Liang Chen , Juan Jose Dolado , Jesus Gonzalo , Haozi Pan

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

统计方法学 · 统计学 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

Many scientific and economic applications involve the statistical learning of high-dimensional functional time series, where the number of functional variables is comparable to, or even greater than, the number of serially dependent…

统计理论 · 数学 2024-04-03 Jinyuan Chang , Cheng Chen , Xinghao Qiao , Qiwei Yao

Weighting methods are essential tools for estimating causal effects in observational studies, with the goal of balancing pre-treatment covariates across treatment groups. Traditional approaches pursue this objective indirectly, for example,…

统计方法学 · 统计学 2026-02-09 Diptanil Santra , Guanhua Chen , Chan Park

In this paper, we introduce a novel high-dimensional Factor-Adjusted sparse Partially Linear regression Model (FAPLM), to integrate the linear effects of high-dimensional latent factors with the nonparametric effects of low-dimensional…

统计方法学 · 统计学 2025-01-14 Yanmei Shi , Meiling Hao , Yanlin Tang , Xu Guo

Data augmentation methods have been shown to be a fundamental technique to improve generalization in tasks such as image, text and audio classification. Recently, automated augmentation methods have led to further improvements on image…

机器学习 · 计算机科学 2021-02-17 Elizabeth Fons , Paula Dawson , Xiao-jun Zeng , John Keane , Alexandros Iosifidis

A key challenge in estimating causal effects from observational data is handling confounding and is commonly achieved through weighting methods that balance distribution of covariates between treatment and control groups. Weighting…

统计方法学 · 统计学 2025-12-23 Simion De , Jared D. Huling

We propose a new method of estimation in high-dimensional linear regression model. It allows for very weak distributional assumptions including heteroscedasticity, and does not require the knowledge of the variance of random errors. The…

统计理论 · 数学 2013-04-16 Eric Gautier , Alexandre Tsybakov

This paper studies the covariance matrix estimation for high-dimensional time series within a new framework that combines low-rank factor and latent variable-specific cluster structures. The popular methods based on assuming the sparse…

统计方法学 · 统计学 2025-02-25 Dong Li , Xinghao Qiao , Cheng Yu

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

统计理论 · 数学 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

High dimensionality comparable to sample size is common in many statistical problems. We examine covariance matrix estimation in the asymptotic framework that the dimensionality $p$ tends to $\infty$ as the sample size $n$ increases.…

统计理论 · 数学 2007-06-13 Jianqing Fan , Yingying Fan , Jinchi Lv

High-dimensional multivariate spatial-temporal data arise frequently in a wide range of applications; however, there are relatively few statistical methods that can simultaneously deal with spatial, temporal and variable-wise dependencies…

统计方法学 · 统计学 2020-02-05 Elynn Y. Chen , Xin Yun , Rong Chen , Qiwei Yao

Reliable uncertainty estimates are an important tool for helping autonomous agents or human decision makers understand and leverage predictive models. However, existing approaches to estimating uncertainty largely ignore the possibility of…

机器学习 · 计算机科学 2020-05-22 Sangdon Park , Osbert Bastani , James Weimer , Insup Lee

The objective function of a matrix factorization model usually aims to minimize the average of a regression error contributed by each element. However, given the existence of stochastic noises, the implicit deviations of sample data from…

机器学习 · 计算机科学 2016-10-31 Guang-He Lee , Shao-Wen Yang , Shou-De Lin

Factor analysis for high-dimensional data is a canonical problem in statistics and has a wide range of applications. However, there is currently no factor model tailored to effectively analyze high-dimensional count responses with…

统计方法学 · 统计学 2024-08-21 Wei Liu , Qingzhi Zhong