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面板数据:固定效应、动态面板、异质性与潜在分组。
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Panel data models with interactive fixed effects and (relatively) small T

交互固定效应面板数据模型与(相对)小 T

This paper studies the estimation of a linear panel data model with interactive fixed effects. A transformation is introduced which, after having been applied, renders the least squares (LS) estimator of Bai (2009) consistent and asymptotically unbiased when n is large and T is fixed. This is termed the transformed least squares (TLS) estimator. Going further, these properties are shown to also carry over to the large n, large T setting, provided T /n → 0. This contrasts…

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Robust estimation and inference for high-dimensional panel data models

高维面板数据模型的稳健估计与推断

This paper provides the relevant literature with a complete toolkit for conducting robust estimation and inference about the parameters of interest involved in a high-dimensional panel data framework. Specifically, (1) we allow for non-Gaussian, serially and cross-sectionally correlated and heteroskedastic error processes, (2) we develop an estimation method for the high-dimensional long-run covariance matrix using a thresholded estimator, (3) we also allow for the number of…

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Jackknife variance estimators for two-way clustering with serially correlated time effects

时间效应序列相关下双向聚类的刀切法方差估计

Chiang, Hansen, and Sasaki (2024) and Chen and Vogelsang (2024) developed cluster-robust variance estimators (CRVEs) for linear regressions with two-way clustered data allowing for arbitrary serial dependence. However, conventional CRVEs can perform poorly in finite samples. We propose jackknife CRVEs and establish their theoretical validity. Our theoretical and simulation results demonstrate several advantages of the proposed procedures. First, the jackknife CRVE delivers…

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Panel threshold regression with unobserved individual-specific threshold effects

含不可观测个体特定阈值效应的面板阈值回归

This paper provides a new approach to estimation and inference in multiple regime panel threshold regression with unobserved individual-specific threshold effects. Such effects are practically relevant and have features that distinguish them from traditional linear panel data models. It is shown that within-regime demeaning in the static model or within-regime first-differencing in the dynamic model both fail to deliver consistent threshold estimators. Instead, correlated…

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Identification of non-additive fixed effects models: Is the return to teacher quality homogeneous?

非加性固定效应模型的识别:教师质量回报是否同质?

Panel or grouped data are often used to allow for unobserved individual heterogeneity in econometric models via fixed effects. In this paper, we discuss identification of a panel data model in which the unobserved heterogeneity both enters additively and interacts with treatment variables. We present identification and estimation methods for parameters of interest in this model under both strict and weak exogeneity assumptions. The key identification insight is that other…

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Testing for structural changes in panel data models with interactive fixed effects via discrete Fourier transform

基于离散傅里叶变换检验交互固定效应面板模型的结构变化

We propose a discrete Fourier transform (DFT)-based test for detecting structural changes in panel data models with interactive fixed effects (IFE). When structural changes are present but ignored, the conventional asymptotic distribution of the least squares (LS) estimator of Bai (2009) may no longer provide reliable inference, and the resulting residuals contain signals of parameter instability. Our test exploits this feature by comparing the DFT of weighted residuals to…

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Clustering with potential multidimensionality: Inference and practice

潜在多维聚类:推断与实践

We show how clustering standard errors in one or more dimensions can be justified in M-estimation when there is sampling or assignment uncertainty. Since existing procedures for variance estimation are either conservative or invalid, we propose a variance estimator that refines a conservative procedure and remains valid. We then interpret environments where clustering is frequently employed in empirical work from our design-based perspective and provide insights on their…

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AVERAGE TREATMENT EFFECT LOCALIZATION: PROJECTION METHODS IN SYNTHETIC CONTROL

平均处理效应局部化:合成控制中的投影方法

Many real-world policies and business interventions require assessing short-term effects to inform timely decisions, even though most causal inference methods focus on long-term average treatment effects. In this article, we introduce average treatment effect localization (ATEL), which captures localized, short-term policy impacts in panel data settings with a single treated unit and provides early indicators of policy impact. To accommodate both time-varying and nonlinear…

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A Panel Data Estimator for the Distribution and Quantiles of Marginal Effects in Nonlinear Structural Models with an Application to the Demand for Junk Food

非线性结构模型中边际效应分布与分位数的面板估计:垃圾食品需求应用

In this paper, we propose a framework to estimate the distribution of marginal effects in a general class of structural models that allow for very general nonlinearities, high dimensional heterogeneity, and unrestricted correlation between the persistent components of this heterogeneity and all covariates. The main idea is to form a derivative dependent variable using two periods of the panel and use differences in outcome variables of nearby subpopulations to obtain the…

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Unit Averaging for Heterogeneous Panels

异质性面板中的个体平均估计

In this work, we introduce a unit averaging procedure to efficiently recover unit-specific parameters in a heterogeneous panel model. The procedure consists in estimating the parameter of a given unit using a weighted average of all the unit-specific parameter estimators in the panel. The weights of the average are determined by minimizing an MSE criterion we derive. We analyze the properties of the resulting minimum MSE unit averaging estimator in a local heterogeneity…

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Bounding Omitted Variable Bias Using Auxiliary Data: With an Application to Estimate Neighborhood Effects

利用辅助数据界定遗漏变量偏差:邻里效应估计应用

This paper develops a method for estimating a superset that contains the linear projection coefficients of an outcome variable y onto a full set of covariates (x,z,w), when the available data are split across two independent sources. One dataset identifies the joint distribution of y and a subset of covariates (z,w), while the other identifies the joint distribution of (x,z). This framework is motivated by applications where administrative data lacks information on…

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ESTIMATION OF HETEROGENEOUS PANEL DATA MODELS WITH AN APPLICATION TO PROGRAM EVALUATION

异质性面板数据模型的估计及其在项目评估中的应用

This article studies panel data models with two-dimensional unobserved slope heterogeneity and interactive fixed effects. We propose a two-step approach to estimate the parameters in the model. We apply the proposed model to estimate heterogeneous treatment effects at both individual and aggregate levels. Monte Carlo simulations show that the proposed estimators perform remarkably well in finite samples in comparison with some existing methods such as the synthetic control…

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A Neyman-Orthogonalization Approach to the Incidental Parameter Problem in Likelihood Models

似然模型中附带参数问题的 Neyman 正交化方法

A popular approach to perform inference on a target parameter in the presence of nuisance parameters is to construct estimating equations that are orthogonal to the nuisance parameters, in the sense that their expected first derivative is zero. Such first-order orthogonalization allows the estimator of the nuisance parameters to converge at a slower-than-parametric rate. It may, however, not suffice when the nuisance parameters are very imprecisely estimated. Leading…

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Why Are the Wealthiest So Wealthy? New Longitudinal Empirical Evidence and Implications for Theories of Wealth Inequality

最富者为何如此富有?新的纵向经验证据及其对财富不平等理论的启示

We study the lifecycle dynamics of wealth inequality using 1993-2019 Norwegian administrative panel data on wealth and income. Employing a novel budget-constraint approach, we decompose the excess wealth of the top 0.1% households relative to the median between ages 45 and 64 into higher saving rates (36%), inheritances (31%), returns (28%), and labor income (5%). One-quarter of the wealthiest—the “New Money”—start with negative wealth on average but accumulate rapidly…

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Production Function Estimation with Factor-Augmenting Technology: An Application to Markups

含要素增强型技术的生产函数估计:加成率的应用

I develop a new method for estimating production functions with laboraugmenting technology and apply it to markup estimation. The method imposes limited parametric restrictions and generalizes prior approaches that rely on the CES production function. I first extend the canonical Olley-Pakes framework assumptions to multidimensional productivity and then develop an identification strategy based on a control variable approach and first-order conditions. I use this method to…

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Estimating Unobserved Cross-Sectional Network Links with Large-T Panel Data

利用大时间维度面板数据估计未观测的横截面网络连接

We propose a simple three-step method to estimate the cross-sectional interdependence in a customary network econometric model with an unobserved network and a large T. First, we estimate the reduced-form model to construct instruments for the endogenous peer outcomes. Second, we use two-stage least squares to estimate the direct and contextual effects of the exogenous regressors, as well as the endogenous peer effect. Third, we estimate the network weight matrix. Monte…

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Asymptotic Distributions of Nonlinear Least Squares Estimators for Panel-MIDAS Models

面板MIDAS模型非线性最小二乘估计量的渐近分布

The Mixed Data Sampling (MIDAS) approach provides a flexible framework for incorporating mixed-frequency data into econometric models. In this paper, we introduce the MIDAS framework into a panel data model and derive the asymptotic properties of the NLS estimator under a joint asymptotic framework where both N and T tend to infinity, allowing for heteroskedasticity and arbitrary correlation within each individual. To facilitate valid inference, we construct robust…

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A Recentered Method of Moments Estimator for Spatial Dynamic Panels

空间动态面板的再中心化矩估计量

This paper proposes a recentered method of moments (RMM) approach for estimating spatial dynamic panel data (SDPD) models with both individual and time fixed effects. This approach directly exploits the correlation of regressors and disturbances, where heteroskedasticity may exist across units and/or over time. It is computationally tractable and can handle situations where other methods are not applicable. We show that the proposed estimator is consistent and asymptotically…

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Geodesic difference-in-differences

测地线双重差分

Summary Difference-in-differences (DID) is a widely used quasi-experimental design for causal inference, traditionally applied to scalar or Euclidean outcomes, while extensions to outcomes residing in non-Euclidean spaces remain limited. Existing methods for such outcomes have primarily focused on univariate distributions, leveraging linear operations in the space of quantile functions, but these approaches cannot be directly extended to outcomes in general metric spaces. In…

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Instrumental variable regression with varying-intensity repeated treatments

强度变化的重复处理下的工具变量回归

Instrumental variable models with repeated endogenous treatments are popular in empirical research using pooled cross-sectional or short panel datasets. This paper proposes a novel semi-parametric approach that explicitly considers 1) path dependency in the contemporaneous treatment effect and 2) a direct carryover effect from past treatments. We demonstrate that when either of these new features is present, the standard two-stage least squares estimator is generally…

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Estimating individual responses when tomorrow matters

未来预期重要时的个体反应估计

We propose an approach to estimate how individuals’ expectations influence their responses to a counterfactual change. The approach relies on average partial effects, which recover counterfactual impacts under conditions that we specify. We propose a three-step estimation method that relies on panel data on subjective expectations. We illustrate our approach in a model of consumption and saving, focusing on the impact of an income tax that not only changes current income but…

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Threshold spatial panel regression with fixed effects

含固定效应的门槛空间面板回归

We introduce general estimation and inference methods for threshold spatial panel regression with two-way fixed effects in a diminishing-threshold-effects framework. A valid objective function is obtained through a simple adjustment on the concentrated quasi loglikelihood with fixed effects being concentrated out, which leads to a consistent estimation of all common parameters. We show that the estimation of threshold parameter has a negligible effect on the asymptotic…

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Triply Robust Panel Estimators

三重稳健面板估计量

ABSTRACT This paper studies estimation of causal effects in a panel data setting. We introduce a new estimator, the Triply Robust Panel (TROP) estimator, that combines a flexible model for the potential outcomes based on a low‐rank factor structure on top of a two‐way‐fixed effect specification, with unit weights intended to upweight units similar to the treated units and time weights intended to upweight time periods close to the treated time periods. We study the…

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Estimation of Heterogeneous Panel Data Models With Mixed Sampling Frequencies

混合采样频率异质面板模型的估计

ABSTRACT This paper studies heterogeneous mixed‐frequency panel data models, focusing on linear specifications that allow heterogeneity in both aggregation weights and slope coefficients. To address potential correlations between the heterogeneity and the covariates, we first show that, under additional normalization conditions, the mean‐group estimator delivers consistent and asymptotically normal slope estimates but biased weights estimators. As an alternative, we propose…

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