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A Ridge-Regularized Jackknifed Anderson-Rubin Test. 山脊-规则化 Jackknifed Anderson-Rubin 试验。
IF 3 2区 数学 Q1 ECONOMICS Pub Date : 2023-12-12 eCollection Date: 2024-01-01 DOI: 10.1080/07350015.2023.2290739
Max-Sebastian Dovì, Anders Bredahl Kock, Sophocles Mavroeidis

We consider hypothesis testing in instrumental variable regression models with few included exogenous covariates but many instruments-possibly more than the number of observations. We show that a ridge-regularized version of the jackknifed Anderson and Rubin (henceforth AR) test controls asymptotic size in the presence of heteroscedasticity, and when the instruments may be arbitrarily weak. Asymptotic size control is established under weaker assumptions than those imposed for recently proposed jackknifed AR tests in the literature. Furthermore, ridge-regularization extends the scope of jackknifed AR tests to situations in which there are more instruments than observations. Monte Carlo simulations indicate that our method has favorable finite-sample size and power properties compared to recently proposed alternative approaches in the literature. An empirical application on the elasticity of substitution between immigrants and natives in the United States illustrates the usefulness of the proposed method for practitioners.

我们考虑了工具变量回归模型中的假设检验问题,这些模型中包含的外生协变因素很少,但工具却很多--可能多于观测值的数量。我们的研究表明,在存在异方差,且工具可能任意弱的情况下,一个脊正则化版本的千分安德森和鲁宾(以下简称 AR)检验可以控制渐近规模。渐近规模控制是在比文献中最近提出的杰克尼夫AR检验更弱的假设条件下建立的。此外,脊正则化还将自回归自相关性检验的范围扩展到了工具多于观测值的情况。蒙特卡罗模拟表明,与文献中最近提出的替代方法相比,我们的方法具有良好的有限样本大小和功率特性。对美国移民和本地人之间替代弹性的实证应用说明了所提出的方法对实践者的有用性。
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引用次数: 0
Efficient and Robust Estimation of the Generalized LATE Model 广义LATE模型的高效鲁棒估计
2区 数学 Q1 ECONOMICS Pub Date : 2023-11-14 DOI: 10.1080/07350015.2023.2282497
Haitian Xie
Abstract–This paper studies the estimation of causal parameters in the generalized local average treatment effect (GLATE) model, which expands upon the traditional LATE model to include multivalued treatments. We derive the efficient influence function (EIF) and the semiparametric efficiency bound (SPEB) for two types of causal parameters: the local average structural function (LASF) and the local average structural function for the treated (LASFT). The moment conditions generated by the EIF satisfy two robustness properties: double robustness and Neyman orthogonality. Based on the robust moment conditions, we propose the double/debiased machine learning (DML) estimator for estimating the LASF. The DML estimator is well-suited for high dimensional settings. We also propose null-restricted inference methods that are robust against weak identification issues. As an empirical application of these methods, we examine the potential health outcome across different types of health insurance plans using data from the Oregon Health Insurance Experiment.Keywords: Double RobustnessEfficient Influence FunctionMultivalued TreatmentNeyman OrthogonalityUnordered MonotonicityWeak Identification.DisclaimerAs a service to authors and researchers we are providing this version of an accepted manuscript (AM). Copyediting, typesetting, and review of the resulting proofs will be undertaken on this manuscript before final publication of the Version of Record (VoR). During production and pre-press, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal relate to these versions also.
摘要:本文研究广义局部平均处理效应(GLATE)模型中因果参数的估计,该模型在传统LATE模型的基础上进行了扩展,使其包括多值处理。我们导出了两类因果参数的有效影响函数(EIF)和半参数效率界(SPEB):局部平均结构函数(LASF)和被处理对象的局部平均结构函数(LASFT)。由EIF产生的力矩条件满足双重鲁棒性和内曼正交性两个鲁棒性。基于鲁棒矩条件,我们提出了双/去偏机器学习(DML)估计器来估计LASF。DML估计器非常适合高维设置。我们还提出了对弱识别问题具有鲁棒性的零限制推理方法。作为这些方法的实证应用,我们使用来自俄勒冈州健康保险实验的数据来检验不同类型健康保险计划的潜在健康结果。关键词:双鲁棒性、有效影响函数、多值处理、内曼正交、无序单调性、弱辨识免责声明作为对作者和研究人员的服务,我们提供了这个版本的已接受的手稿(AM)。在最终出版版本记录(VoR)之前,将对该手稿进行编辑、排版和审查。在制作和印前,可能会发现可能影响内容的错误,所有适用于期刊的法律免责声明也与这些版本有关。
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引用次数: 0
Causal inference under outcome-based sampling with monotonicity assumptions 基于结果抽样的单调性假设下的因果推理
2区 数学 Q1 ECONOMICS Pub Date : 2023-10-31 DOI: 10.1080/07350015.2023.2277164
Sung Jae Jun, Sokbae Lee
We study causal inference under case-control and case-population sampling. For this purpose, we focus on the binary-outcome and binary-treatment case, where the parameters of interest are causal relative and attributable risk defined via the potential outcome framework. It is shown that strong ignorability is not always as powerful as it is under random sampling and that certain monotonicity assumptions yield comparable results in terms of sharp identified intervals. Specifically, the usual odds ratio is shown to be a sharp identified upper bound on causal relative risk under the monotone treatment response and monotone treatment selection assumptions. We then discuss averaging the conditional (log) odds ratio and propose an algorithm for semiparametrically efficient estimation when averaging is based only on the (conditional) distributions of the covariates that are identified in the data. We also offer algorithms for causal inference if the true population distribution of the covariates is desirable for aggregation. We show the usefulness of our approach by studying two empirical examples from social sciences: the benefit of attending private school for entering a prestigious university in Pakistan and the causal relationship between staying in school and getting involved with drug-trafficking gangs in Brazil.
我们在病例控制和病例总体抽样下研究因果推理。为此,我们将重点放在二元结果和二元治疗案例上,其中感兴趣的参数是通过潜在结果框架定义的因果相关风险和归因风险。结果表明,强可忽略性并不总是像在随机抽样下那样强大,并且某些单调性假设在明确识别的区间方面产生可比较的结果。具体而言,在单调治疗反应和单调治疗选择假设下,通常的优势比被证明是因果相对风险的一个明确的上界。然后,我们讨论了平均条件(对数)比值比,并提出了一种半参数有效估计算法,当平均仅基于数据中识别的协变量的(条件)分布时。如果协变量的真实总体分布是聚合所需要的,我们也提供了因果推理的算法。我们通过研究社会科学领域的两个实证例子来证明我们方法的有效性:就读私立学校对进入巴基斯坦名牌大学的好处,以及留在学校与卷入巴西贩毒团伙之间的因果关系。
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引用次数: 2
An Empirical Bayes Approach to Controlling the False Discovery Exceedance 控制虚假发现超越的经验贝叶斯方法
2区 数学 Q1 ECONOMICS Pub Date : 2023-10-31 DOI: 10.1080/07350015.2023.2277857
Pallavi Basu, Luella Fu, Alessio Saretto, Wenguang Sun
In large-scale multiple hypothesis testing problems, the false discovery exceedance (FDX) provides a desirable alternative to the widely used false discovery rate (FDR) when the false discovery proportion (FDP) is highly variable. We develop an empirical Bayes approach to control the FDX. We show that, for independent hypotheses from a two-group model and dependent hypotheses from a Gaussian model fulfilling the exchangeability condition, an oracle decision rule based on ranking and thresholding the local false discovery rate (lfdr) is optimal in the sense that the power is maximized subject to the FDX constraint. We propose a data-driven FDX procedure that uses carefully designed computational shortcuts to emulate the oracle rule. We investigate the empirical performance of the proposed method using both simulated and real data and study the merits of FDX control through an application for identifying abnormal stock trading strategies.
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引用次数: 0
Modeling and Forecasting Macroeconomic Downside Risk* 宏观经济下行风险建模与预测*
2区 数学 Q1 ECONOMICS Pub Date : 2023-10-31 DOI: 10.1080/07350015.2023.2277171
Davide Delle Monache, Andrea De Polis, Ivan Petrella
AbstractWe model permanent and transitory changes of the predictive density of US GDP growth. A substantial increase in downside risk to US economic growth emerges over the last 30 years, associated with the long-run growth slowdown started in the early 2000s. Conditional skewness moves procyclically, implying negatively skewed predictive densities ahead and during recessions, often anticipated by deteriorating financial conditions. Conversely, positively skewed distributions characterize expansions. The modelling framework ensures robustness to tail events, allows for both dense or sparse predictor designs, and delivers competitive out-of-sample (point, density and tail) forecasts, improving upon standard benchmarks.Keywords: Business cycledownside riskskewnessscore drivenfinancial conditionsDisclaimerAs a service to authors and researchers we are providing this version of an accepted manuscript (AM). Copyediting, typesetting, and review of the resulting proofs will be undertaken on this manuscript before final publication of the Version of Record (VoR). During production and pre-press, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal relate to these versions also.
摘要本文建立了美国GDP增长预测密度的永久和短暂变化模型。在过去30年里,美国经济增长面临的下行风险大幅增加,这与本世纪初开始的长期增长放缓有关。条件偏度顺周期移动,意味着在衰退之前和衰退期间预测密度呈负偏态,这通常是由金融状况恶化所预测的。相反,正偏态分布是扩张的特征。建模框架确保对尾事件的鲁棒性,允许密集或稀疏预测器设计,并提供有竞争力的样本外(点,密度和尾)预测,在标准基准上进行改进。关键词:商业周期下行风险偏度评分驱动财务状况免责声明作为对作者和研究人员的服务,我们提供此版本的已接受手稿(AM)。在最终出版版本记录(VoR)之前,将对该手稿进行编辑、排版和审查。在制作和印前,可能会发现可能影响内容的错误,所有适用于期刊的法律免责声明也与这些版本有关。
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引用次数: 3
Functional-Coefficient Quantile Regression for Panel Data with Latent Group Structure 具有潜在群体结构的面板数据的功能系数分位数回归
2区 数学 Q1 ECONOMICS Pub Date : 2023-10-31 DOI: 10.1080/07350015.2023.2277172
Xiaorong Yang, Jia Chen, Degui Li, Runze Li
AbstractThis paper considers estimating functional-coefficient models in panel quantile regression with individual effects, allowing the cross-sectional and temporal dependence for large panel observations. A latent group structure is imposed on the heterogenous quantile regression models so that the number of nonparametric functional coefficients to be estimated can be reduced considerably. With the preliminary local linear quantile estimates of the subject-specific functional coefficients, a classic agglomerative clustering algorithm is used to estimate the unknown group structure and an easy-to-implement ratio criterion is proposed to determine the group number. The estimated group number and structure are shown to be consistent. Furthermore, a post-grouping local linear smoothing method is introduced to estimate the group-specific functional coefficients, and the relevant asymptotic normal distribution theory is derived with a normalisation rate comparable to that in the literature. The developed methodologies and theory are verified through a simulation study and showcased with an application to house price data from UK local authority districts, which reveals different homogeneity structures at different quantile levels.Keywords: Cluster analysisfunctional-coefficient modelsincidental parameterlatent groupslocal linear estimationpanel dataquantile regressionDisclaimerAs a service to authors and researchers we are providing this version of an accepted manuscript (AM). Copyediting, typesetting, and review of the resulting proofs will be undertaken on this manuscript before final publication of the Version of Record (VoR). During production and pre-press, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal relate to these versions also.
摘要本文考虑在考虑个体效应的面板分位数回归中估计功能系数模型,允许大面板观测的横截面和时间依赖性。在异质分位数回归模型上加入潜在群结构,使得待估计的非参数泛函系数的数量可以大大减少。通过对学科功能系数的局部线性分位数的初步估计,采用经典的聚类算法估计未知的群体结构,并提出了易于实现的比例准则来确定群体数量。估计的基团数和结构是一致的。在此基础上,引入分组后局部线性平滑方法来估计分组特有的泛函系数,并推导出相应的渐近正态分布理论,其归一化率与文献相当。通过模拟研究验证了所开发的方法和理论,并将其应用于英国地方政府地区的房价数据,揭示了不同分位数水平上不同的同质性结构。关键词:聚类分析功能系数模型偶然参数潜在群局部线性估计面板数据分位数回归免责声明作为对作者和研究人员的服务,我们提供此版本的已接受稿件(AM)。在最终出版版本记录(VoR)之前,将对该手稿进行编辑、排版和审查。在制作和印前,可能会发现可能影响内容的错误,所有适用于期刊的法律免责声明也与这些版本有关。
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引用次数: 0
Bootstrap Inference in Cointegrating Regressions: Traditional and Self-Normalized Test Statistics 协整回归中的自举推理:传统和自归一化检验统计量
2区 数学 Q1 ECONOMICS Pub Date : 2023-10-18 DOI: 10.1080/07350015.2023.2271538
Karsten Reichold, Carsten Jentsch
Traditional tests of hypotheses on the cointegrating vector are well known to suffer from severe size distortions in finite samples, especially when the data are characterized by large levels of endogeneity or error serial correlation. To address this issue, we combine a vector autoregressive (VAR) sieve bootstrap to construct critical values with a self-normalization approach that avoids direct estimation of long-run variance parameters when computing test statistics. To asymptotically justify this method, we prove bootstrap consistency for the self-normalized test statistics under mild conditions. In addition, the underlying bootstrap invariance principle allows us to prove bootstrap consistency also for traditional test statistics based on popular modified OLS estimators. Simulation results show that using bootstrap critical values instead of asymptotic critical values reduces size distortions associated with traditional test statistics considerably, but combining the VAR sieve bootstrap with self-normalization can lead to even less size distorted tests at the cost of only small power losses. We illustrate the usefulness of the VAR sieve bootstrap in empirical applications by analyzing the validity of the Fisher effect in 19 OECD countries.
众所周知,对协整向量的传统假设检验在有限样本中存在严重的尺寸扭曲,特别是当数据具有高水平的内生性或误差序列相关时。为了解决这个问题,我们结合了向量自回归(VAR)筛选bootstrap来构建临界值,并采用自归一化方法,避免在计算检验统计量时直接估计长期方差参数。为了渐近证明该方法,我们证明了自归一化检验统计量在温和条件下的自举一致性。此外,底层的自举不变性原理使我们能够证明基于流行的修正OLS估计量的传统测试统计量的自举一致性。仿真结果表明,使用自举临界值代替渐近临界值可以显著减少与传统测试统计量相关的尺寸畸变,而将VAR筛自举与自归一化相结合可以以较小的功率损失为代价导致更小的尺寸畸变测试。我们通过分析19个经合组织国家的费雪效应的有效性来说明VAR筛选自举在实证应用中的有效性。
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引用次数: 0
Double machine learning for sample selection models+ 双机器学习的样本选择模型+
2区 数学 Q1 ECONOMICS Pub Date : 2023-10-16 DOI: 10.1080/07350015.2023.2271071
Michela Bia, Martin Huber, Lukáš Lafférs
AbstractThis paper considers the evaluation of discretely distributed treatments when outcomes are only observed for a subpopulation due to sample selection or outcome attrition. For identification, we combine a selection-on-observables assumption for treatment assignment with either selection-on-observables or instrumental variable assumptions concerning the outcome attrition/sample selection process. We also consider dynamic confounding, meaning that covariates that jointly affect sample selection and the outcome may (at least partly) be influenced by the treatment. To control in a data-driven way for a potentially high dimensional set of pre- and/or post-treatment covariates, we adapt the double machine learning framework for treatment evaluation to sample selection problems. We make use of (a) Neyman-orthogonal, doubly robust, and efficient score functions, which imply the robustness of treatment effect estimation to moderate regularization biases in the machine learning- based estimation of the outcome, treatment, or sample selection models and (b) sample splitting (or cross-fitting) to prevent overfitting bias. We demonstrate that the proposed estimators are asymptotically normal and root-n consistent and investigate their finite sample properties in a simulation study. We also apply our proposed methodology to the Job Corps data. The estimator is available in the causalweight package for the statistical software R.Keywords: sample selectiondouble machine learningdoubly robust estimationefficient scoreDisclaimerAs a service to authors and researchers we are providing this version of an accepted manuscript (AM). Copyediting, typesetting, and review of the resulting proofs will be undertaken on this manuscript before final publication of the Version of Record (VoR). During production and pre-press, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal relate to these versions also.
摘要本文考虑了当由于样本选择或结果损耗而只能在一个亚群中观察到结果时,对离散分布处理的评估。为了识别,我们将治疗分配的可观察选择假设与关于结果损耗/样本选择过程的可观察选择假设或工具变量假设结合起来。我们还考虑了动态混淆,这意味着共同影响样本选择和结果的协变量可能(至少部分)受到治疗的影响。为了以数据驱动的方式控制治疗前和/或治疗后协变量的潜在高维集,我们将双机器学习框架用于治疗评估以解决样本选择问题。我们利用(a)内曼正交、双鲁棒性和有效的评分函数,这意味着在基于机器学习的结果、治疗或样本选择模型的估计中,治疗效果估计对中度正则化偏差的鲁棒性;(b)样本分裂(或交叉拟合)以防止过拟合偏差。我们在模拟研究中证明了所提出的估计量是渐近正态和根n一致的,并研究了它们的有限样本性质。我们还将我们提出的方法应用于就业团的数据。该估计器在统计软件r的因果权重包中可用。关键词:样本选择,双重机器学习,双重鲁棒估计,有效分数免责声明作为对作者和研究人员的服务,我们提供此版本的已接受手稿(AM)。在最终出版版本记录(VoR)之前,将对该手稿进行编辑、排版和审查。在制作和印前,可能会发现可能影响内容的错误,所有适用于期刊的法律免责声明也与这些版本有关。
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引用次数: 5
Discussion of Levon Barseghyan and Francesca Molinari’s “Risk Preference Types, Limited Consideration, and Welfare” 对Barseghyan和Francesca Molinari“风险偏好类型、有限考虑和福利”的讨论
2区 数学 Q1 ECONOMICS Pub Date : 2023-10-02 DOI: 10.1080/07350015.2023.2223592
Julie Holland Mortimer
Click to increase image sizeClick to decrease image size Notes1 Figure 1 is available online at: https://insurance.ohio.gov/wps/wcm/connect/gov/ea3f5cf0-181b-47ed-bdbd-a060b6613a4d/CompleteAutoGuide+2022.pdf?MOD=AJPERES&CONVERT_TO=url&CACHEID=ROOTWORKSPACE.Z18_M1HGGIK0N0JO00QO9DDDDM3000-ea3f5cf0-181b-47ed-bdbd-a060b6613a4d-n.SMM7v. I don’t know the state from which the authors’ data are collected, and the format of insurance quotes in the author’s data may differ from that shown here; this is meant for illustrative purposes only.2 See https://www.bankrate.com/insurance/car/car-insurance-deductible//#types. Accessed on January 5, 2023; current version was updated March 2, 2023.3 See https://www.forbes.com/advisor/car-insurance/comprehensive-vs-collision-auto-insurance/. Last accessed on March 26, 2023.4 According to Statista, roughly 85% of new cars (and 40% of used cars) are financed. The number of new cars that are leased has been falling in recent years from a high of almost 1 in 3 in 2020 to roughly 1 in 5 today.5 See https://www.forbes.com/advisor/car-insurance/comprehensive-vs-collision-auto-insurance/. Last accessed on March 26, 2023.6 See https://www.bankrate.com/insurance/car/car-insurance-deductible//#types. Accessed on March 26, 2023.7 It’s important to recognize that we need ex-ante estimates of claim amounts, analogous to claim probabilities.8 See https://www.moneygeek.com/insurance/auto/do-i-need-comprehensive-collision/. Accessed on March 26, 2023.9 See https://www.bankrate.com/insurance/car/car-insurance-deductible//#impact. Accessed on March 26, 2023.
单击可增大图像大小单击可减小图像大小注1图1可在https://insurance.ohio.gov/wps/wcm/connect/gov/ea3f5cf0-181b-47ed-bdbd-a060b6613a4d/CompleteAutoGuide+2022.pdf?MOD=AJPERES&CONVERT_TO=url&CACHEID=ROOTWORKSPACE.Z18_M1HGGIK0N0JO00QO9DDDDM3000-ea3f5cf0-181b-47ed-bdbd-a060b6613a4d-n.SMM7v上在线获得。我不知道作者的数据是从哪个国家收集的,作者数据中的保险报价格式可能与这里显示的不同;这只是为了说明的目的看到https://www.bankrate.com/insurance/car/car-insurance-deductible//类型。2023年1月5日访问;当前版本于2023.3年3月2日更新,参见https://www.forbes.com/advisor/car-insurance/comprehensive-vs-collision-auto-insurance/。根据Statista的数据,大约85%的新车(和40%的二手车)是融资的。近年来,租赁新车的数量一直在下降,从2020年近三分之一的高点降至今天的五分之一左右见https://www.forbes.com/advisor/car-insurance/comprehensive-vs-collision-auto-insurance/。最后访问日期:2023.6年3月26日,见https://www.bankrate.com/insurance/car/car-insurance-deductible//#types。重要的是要认识到,我们需要事先估计索赔金额,类似于索赔概率见https://www.moneygeek.com/insurance/auto/do-i-need-comprehensive-collision/。2023.9年3月26日访问,见https://www.bankrate.com/insurance/car/car-insurance-deductible//#impact。2023年3月26日访问。
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引用次数: 0
Context-Dependent Heterogeneous Preferences: A Comment on Barseghyan and Molinari (2023) 语境依赖的异质性偏好:对Barseghyan和Molinari(2023)的评析
2区 数学 Q1 ECONOMICS Pub Date : 2023-10-02 DOI: 10.1080/07350015.2023.2216740
Matias D. Cattaneo, Xinwei Ma, Yusufcan Masatlioglu
Abstract–Barseghyan and Molinari give sufficient conditions for semi-nonparametric point identification of parameters of interest in a mixture model of decision-making under risk, allowing for unobserved heterogeneity in utility functions and limited consideration. A key assumption in the model is that the heterogeneity of risk preferences is unobservable but context-independent. In this comment, we build on their insights and present identification results in a setting where the risk preferences are allowed to be context-dependent.KEYWORDS: Discrete choiceRandom limited considerationRandom utilitySemi-nonparametric identification AcknowledgmentsWe thank Francesca Molinari and the participants at the 2023 ASSA meetings (JBES Session: Risk Preference Types, Limited Consideration, and Welfare) for comments.Disclosure StatementThe authors report there are no competing interests to declare.Additional informationFundingCattaneo gratefully acknowledges financial support from the National Science Foundation through grants SES-1947805 and SES-2241575.
barseghyan和Molinari给出了风险下决策混合模型中感兴趣参数的半非参数点识别的充分条件,允许效用函数的未观察到异质性和有限的考虑。该模型的一个关键假设是,风险偏好的异质性是不可观察的,但与环境无关。在这篇评论中,我们以他们的见解为基础,并在允许风险偏好与上下文相关的环境中呈现识别结果。我们感谢Francesca Molinari和2023年ASSA会议(JBES会议:风险偏好类型、有限考虑和福利)的参与者提供的意见。声明作者报告无竞争利益需要申报。cataneo感谢国家科学基金会通过SES-1947805和SES-2241575拨款提供的财政支持。
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引用次数: 0
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Journal of Business & Economic Statistics
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