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Inference on Conditional Quantile Processes in Partially Linear Models with Applications to the Impact of Unemployment Benefits

部分线性模型中条件分位数过程的推断及失业福利影响应用

Abstract We propose methods to estimate and make inferences on conditional quantile processes for models with both nonparametric and (locally or globally) linear components. We derive their asymptotic properties, optimal bandwidths, and uniform confidence bands over quantiles allowing for robust bias correction. Our framework covers the sharp regression discontinuity design, which is used to study the effects of unemployment insurance benefits extensions, focusing on…

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Bootstrap Inference for Quantile Treatment Effects in Randomized Experiments with Matched Pairs

配对随机实验中分位数处理效应的自助推断

Abstract This paper examines methods of inference concerning quantile treatment effects (QTEs) in randomized experiments with matched-pairs designs (MPDs). Standard multiplier bootstrap inference fails to capture the negative dependence of observations within each pair and is therefore conservative. Analytical inference involves estimating multiple functional quantities that require several tuning parameters. Instead, this paper proposes two bootstrap methods that can…

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Diversity in Schools: Immigrants and the Educational Performance of U.S.-Born Students

学校多样性:移民与美国本土出生学生的教育表现

Abstract We study the effect of exposure to immigrants on the educational outcomes of U.S.-born students, using a unique dataset combining population-level birth and school records from Florida. This research question is complicated by the substantial school selection of U.S.-born students, especially among White and comparatively affluent students, in response to the presence of immigrant students in the school. We propose a new identification strategy, comparing sibling…

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Social Interactions, Mechanisms, and Equilibrium: Evidence from a Model of Study Time and Academic Achievement

社会互动、机制与均衡:学习时间和学业表现模型的证据

We develop and estimate a model of student study time choices on a social network. The model is designed to exploit unique data in the Berea Panel Study. Study time data allow us to quantify an intuitive mechanism for academic social interactions: own study time may depend on friend study time in a heterogeneous manner. Social network data allow us to embed study time and resulting academic achievement in an estimable equilibrium framework. We develop a specification test…

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Assumption-lean falsification tests of rate double-robustness of double-machine-learning estimators

双重机器学习估计量速率双重稳健性的弱假设证伪检验

The class of doubly robust (DR) functionals studied by Rotnitzky et al. (2021) is of central importance in economics and biostatistics. It strictly includes both (i) the class of mean-square continuous functionals that can be written as an expectation of an affine functional of a conditional expectation studied by Chernozhukov et al. (2022b) and the class of functionals studied by Robins et al. (2008). The present state-of-the-art estimators for DR functionals ψ are…

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Instrumental variable estimation with first-stage heterogeneity

存在第一阶段异质性的工具变量估计

We propose a simple data-driven procedure that exploits heterogeneity in the first-stage correlation between an instrument and an endogenous variable to improve the asymptotic mean squared error (MSE) of instrumental variable estimators. We show that the resulting gains in asymptotic MSE can be quite large in settings where there is substantial heterogeneity in the first-stage parameters. We also show that a naive procedure used in some applied work, which consists of…

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One instrument to rule them all: The bias and coverage of just-ID IV

一个工具变量:恰好识别 IV 的偏差与覆盖率

We revisit the finite-sample behavior of single-variable just-identified instrumental variables (just-ID IV) estimators, arguing that in most microeconometric applications, the usual inference strategies are likely reliable. Three widely-cited applications are used to explain why this is so. We then consider pretesting strategies of the form t1>c, where t1 is the first-stage t-statistic, and the first-stage sign is given. Although pervasive in empirical practice, pretesting…

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Nonseparable sample selection models with censored selection rules

带删失选择规则的非可分样本选择模型

We consider identification and estimation of nonseparable sample selection models with censored selection rules. We employ a control function approach and discuss different objects of interest based on (1) local effects conditional on the control function, and (2) global effects obtained from integration over ranges of values of the control function. We derive conditions for identification of these different objects and suggest strategies for estimation. Moreover, we provide…

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Using Wasserstein Generative Adversarial Networks for the design of Monte Carlo simulations

利用 Wasserstein 生成对抗网络设计蒙特卡洛模拟

When researchers develop new econometric methods it is common practice to compare the performance of the new methods to those of existing methods in Monte Carlo studies. The credibility of such Monte Carlo studies is often limited because of the discretion the researcher has in choosing the Monte Carlo designs reported. To improve the credibility we propose using a class of generative models that has recently been developed in the machine learning literature, termed…

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Testing and relaxing the exclusion restriction in the control function approach

控制函数方法中排除限制的检验与放松

The control function approach which employs an instrumental variable excluded from the outcome equation is a very common solution to deal with the problem of endogeneity in nonseparable models. Exclusion restrictions, however, are frequently controversial. We first argue that, in a nonparametric triangular structure typical of the control function literature, one can actually test this exclusion restriction provided the instrument satisfies a local irrelevance condition.…

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Local regression distribution estimators

局部回归分布估计量

This paper investigates the large sample properties of local regression distribution estimators, which include a class of boundary adaptive density estimators as a prime example. First, we establish a pointwise Gaussian large sample distributional approximation in a unified way, allowing for both boundary and interior evaluation points simultaneously. Using this result, we study the asymptotic efficiency of the estimators, and show that a carefully crafted minimum distance…

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Identifying the effects of a program offer with an application to Head Start

项目提供机会的效应识别:以 Head Start 为例

I propose a treatment selection model that introduces unobserved heterogeneity in both choice sets and preferences to evaluate the average effects of a program offer. I show how to exploit the model structure to define parameters capturing these effects and then computationally characterize their identified sets under instrumental variable variation in choice sets. I illustrate these tools by analyzing the effects of providing an offer to the Head Start preschool program…

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Confidence intervals of treatment effects in panel data models with interactive fixed effects

交互固定效应面板模型中处理效应的置信区间

We augment the factor-based estimation of treatment effects proposed by Bai and Ng (2021) with easy-to-implement and nonparametric confidence intervals of treatment effects on every treated unit at every post-treatment time. The construction of confidence intervals entails a residual-based bootstrap resampling procedure. This method does not rely on any parametric assumption on the distribution of idiosyncratic errors and it is robust to weak cross-sectional and time-series…

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Inference for low-rank completion without sample splitting with application to treatment effect estimation

无需样本分割的低秩矩阵补全推断及处理效应应用

This paper studies the inferential theory for estimating low-rank matrices. It also provides an inference method for the average treatment effect as an application. We show that the least square estimation of eigenvectors following the nuclear norm penalization attains the asymptotic normality. The key contribution of our method is that it does not require sample splitting. In addition, this paper allows dependent observation patterns and heterogeneous observation…

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A computational approach to identification of treatment effects for policy evaluation

政策评估中处理效应识别的计算方法

For counterfactual policy evaluation, it is important to ensure that treatment parameters are relevant to policies in question. This is especially challenging under unobserved heterogeneity, as is well featured in the definition of the local average treatment effect (LATE). Being intrinsically local, the LATE is known to lack external validity in counterfactual environments. This paper investigates the possibility of extrapolating local treatment effects to different…

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Partial identification and inference in duration models with endogenous censoring

内生删失持续期模型的部分识别与推断

Abstract This paper studies identification and inference in transformation models with endogenous censoring. Many kinds of duration models, such as the accelerated failure time model, proportional hazard model, and mixed proportional hazard model, can be viewed as transformation models. We allow the censoring of a duration outcome to be arbitrarily correlated with observed covariates and unobserved heterogeneity. We impose no parametric restrictions on either the…

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Does paid parental leave affect children's schooling outcomes? Replicating Danzer and Lavy (2018)

带薪育儿假影响儿童学业表现吗?复现Danzer与Lavy(2018)

Summary Danzer and Lavy (2018) study how the duration of paid parental leave affects children's educational performance using data from PISA. An extension of the maximum duration from 12 to 24 months in Austria had no statistically significant effect on average, but the authors highlight the existence of large and statistically significant heterogenous effects that vary in sign depending on the education of mothers and children's gender. The policy increased the scores…

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Revisiting the analysis of matched‐pair and stratified experiments in the presence of attrition

存在样本流失时的配对与分层实验分析再审视

Abstract In this paper, we revisit some common recommendations regarding the analysis of matched‐pair and stratified experimental designs in the presence of attrition. Our main objective is to clarify a number of well‐known claims about the practice of dropping pairs with an attrited unit when analyzing matched‐pair designs. Contradictory advice appears in the literature about whether or not dropping pairs is beneficial or harmful, and stratifying into larger groups has been…

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Double robustness for complier parameters and a semi-parametric test for complier characteristics

服从者参数的双重稳健性与服从者特征的半参数检验

Summary We propose a semi-parametric test to evaluate (a) whether different instruments induce subpopulations of compliers with the same observable characteristics, on average; and (b) whether compliers have observable characteristics that are the same as the full population, treated subpopulation, or untreated subpopulation, on average. The test is a flexible robustness check for the external validity of instruments. To justify the test, we characterise the doubly robust…

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Instrumental variable quantile regression under random right censoring

随机右删失下的工具变量分位数回归

Summary This paper studies a semiparametric quantile regression model with endogenous variables and random right censoring. The endogeneity issue is solved using instrumental variables. It is assumed that the structural quantile of the logarithm of the outcome variable is linear in the covariates and censoring is independent. The regressors and instruments can be either continuous or discrete. The specification generates a continuum of equations of which the quantile…

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Discussion of ‘Causal inference with misspecified exposure mappings: separating definitions and assumptions’

对《暴露映射误设下的因果推断:区分定义与假设》的讨论:政策评价局限

We thank Sävje (2024) for a thought-provoking article and appreciate the opportunity to share our perspective as social scientists. In his article, Sävje recommended misspecified exposure effects as a way to avoid strong assumptions about interference when analysing the results of an experiment. In this discussion, we highlight a key limitation of Sävje’s recommendation. Exposure effects are not generally useful for evaluating social policies without the strong assumptions…

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Discussion of ‘Causal inference with misspecified exposure mappings: separating definitions and assumptions’

对《暴露映射误设下的因果推断:区分定义与假设》的讨论:推断所需的干扰限制

We congratulate the author on an insightful paper that provides a discerning critique of the use of exposure mappings in studies with interference. The main observation is that exposure mappings serve two different functions; they define the estimand and impose structure on potential outcomes by restricting interference. The first function commonly leads researchers to select simple exposure mappings that summarize treatments assigned to units ‘near’ the ego. However, due to…

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Efficient evaluation of natural stochastic policies in off-line reinforcement learning

离线强化学习中自然随机策略的有效评估

Summary We study the efficient off-policy evaluation of natural stochastic policies, which are defined in terms of deviations from the unknown behaviour policy. This is a departure from the literature on off-policy evaluation that largely considers the evaluation of explicitly specified policies. Crucially, off-line reinforcement learning with natural stochastic policies can help alleviate issues of weak overlap, lead to policies that build upon current practice and improve…

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No-harm calibration for generalized Oaxaca–Blinder estimators

广义 Oaxaca–Blinder 估计量的无损校准

Summary In randomized experiments, adjusting for observed features when estimating treatment effects has been proposed as a way to improve asymptotic efficiency. However, among parametric methods, only linear regression has been proven to form an estimate of the average treatment effect that is asymptotically no less efficient than the treated-minus-control difference in means regardless of the true data generating process. Randomized treatment assignment provides this…

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