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Homogeneity and Sparsity Analysis for High Dimensional Panel Data Models 高维面板数据模型的同质性和稀疏性分析
Pub Date : 2022-10-26 DOI: 10.1080/07350015.2022.2140667
Wu Wang, Zhongyi Zhu
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引用次数: 1
Large Spillover Networks of Nonstationary Systems 非平稳系统的大溢出网络
Pub Date : 2022-07-11 DOI: 10.1080/07350015.2022.2099870
ShiuNan Chen, M. Schienle
This paper proposes a vector error correction framework for constructing large consistent spillover networks of nonstationary systems grounded in the network theory of Diebold and Yılmaz (2014). We aim to provide a tailored methodology for the large non-stationary (macro)economic and financial system application settings avoiding technical and often hard to verify assumptions for general statistical highdimensional approaches where the dimension can also increase with sample size. To achieve this, we propose an elementwise Lasso-type technique for consistent and numerically efficient model selection of VECM, and relate the resulting forecast error variance decomposition to the network topology representation. We also derive the corresponding asymptotic results for model selection and network estimation under standard assumptions. Moreover, we develop a refinement strategy for efficient estimation and show implications and modifications for general dependent innovations. In a comprehensive simulation study, we show convincing finite sample performance of our technique in all cases of moderate and low dimensions. In an application to a system of FX rates, the proposed method leads to novel insights on the connectedness and spillover effects in the FX market among the OECD countries. JEL classification: C3, C5, F3
本文基于Diebold和Yılmaz(2014)的网络理论,提出了一个用于构建非平稳系统的大型一致溢出网络的矢量误差校正框架。我们的目标是为大型非平稳(宏观)经济和金融系统应用设置提供量身定制的方法,避免一般统计高维方法的技术性和通常难以验证的假设,其中维度也会随着样本量的增加而增加。为了实现这一目标,我们提出了一种元素lasso类型的技术,用于VECM的一致和数值高效的模型选择,并将所得的预测误差方差分解与网络拓扑表示联系起来。在标准假设下,我们也得到了相应的模型选择和网络估计的渐近结果。此外,我们开发了一种用于有效评估的改进策略,并显示了对一般依赖创新的含义和修改。在全面的仿真研究中,我们展示了我们的技术在所有中、低维情况下令人信服的有限样本性能。在对外汇汇率系统的应用中,所提出的方法对经合组织国家之间外汇市场的连通性和溢出效应产生了新的见解。JEL分类:C3, C5, F3
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引用次数: 3
Consistent Estimation of Multiple Breakpoints in Dependence Measures* 依赖测度中多断点的一致性估计*
Pub Date : 2022-06-09 DOI: 10.1080/07350015.2023.2224850
Marvin Borsch, Alexander Mayer, Dominik Wied
This paper proposes different methods to consistently detect multiple breaks in copula-based dependence measures, mainly focusing on Spearman's $rho$. The leading model is a factor copula model due to its usefulness for analyzing data in high dimensions. Starting with the classical binary segmentation, also the more recent wild binary segmentation (WBS) and a procedure based on an information criterion are considered. For all procedures, consistency of the estimators for the location of the breakpoints as well as the number of breaks is proved. Monte Carlo simulations indicate that WBS performs best in many, but not in all, situations. A real data application on recent Euro Stoxx 50 data reveals the usefulness of the procedures.
本文提出了在基于copula的依赖测度中一致检测多个断裂的不同方法,主要关注Spearman的$rho$。最主要的模型是因子联结模型,因为它对高维数据的分析很有用。从经典的二值分割开始,考虑了最近的野生二值分割(WBS)和基于信息准则的过程。对于所有过程,证明了断点位置估计量和断点数目的一致性。蒙特卡罗模拟表明,WBS在许多情况下表现最好,但不是在所有情况下。最近欧洲斯托克50指数的实际数据应用显示了这些程序的有效性。
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引用次数: 0
Covariance Model with General Linear Structure and Divergent Parameters 具有一般线性结构和发散参数的协方差模型
Pub Date : 2022-05-15 DOI: 10.1080/07350015.2022.2142593
Xinyan Fan, Wei Lan, Tao Zou, Chih-Ling Tsai
For estimating the large covariance matrix with a limited sample size, we propose the covariance model with general linear structure (CMGL) by employing the general link function to connect the covariance of the continuous response vector to a linear combination of weight matrices. Without assuming the distribution of responses, and allowing the number of parameters associated with weight matrices to diverge, we obtain the quasi-maximum likelihood estimators (QMLE) of parameters and show their asymptotic properties. In addition, an extended Bayesian information criteria (EBIC) is proposed to select relevant weight matrices, and the consistency of EBIC is demonstrated. Under the identity link function, we introduce the ordinary least squares estimator (OLS) that has the closed form. Hence, its computational burden is reduced compared to QMLE, and the theoretical properties of OLS are also investigated. To assess the adequacy of the link function, we further propose the quasi-likelihood ratio test and obtain its limiting distribution. Simulation studies are presented to assess the performance of the proposed methods, and the usefulness of generalized covariance models is illustrated by an analysis of the US stock market.
为了估计有限样本量下的大协方差矩阵,我们提出了具有一般线性结构的协方差模型(CMGL),该模型采用一般链接函数将连续响应向量的协方差与权矩阵的线性组合连接起来。在不假设响应分布的情况下,允许与权矩阵相关的参数个数发散,得到了参数的拟极大似然估计量,并证明了它们的渐近性质。此外,提出了一种扩展的贝叶斯信息准则(EBIC)来选择相关的权重矩阵,并证明了EBIC的一致性。在恒等链函数下,引入了具有封闭形式的普通最小二乘估计量(OLS)。因此,与QMLE相比,它的计算量减少了,并对OLS的理论性质进行了研究。为了评估链接函数的充分性,我们进一步提出了拟似然比检验,并得到了它的极限分布。本文提出了模拟研究来评估所提出方法的性能,并通过对美国股票市场的分析说明了广义协方差模型的有用性。
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引用次数: 0
A General Framework for Constructing Locally Self-Normalized Multiple-Change-Point Tests 构造局部自归一化多变点测试的一般框架
Pub Date : 2022-04-30 DOI: 10.1080/07350015.2023.2231041
Cheuk Hin Cheng, Kin Wai Chan
We propose a general framework to construct self-normalized multiple-change-point tests with time series data. The only building block is a user-specified one-change-point detecting statistic, which covers a wide class of popular methods, including cumulative sum process, outlier-robust rank statistics and order statistics. Neither robust and consistent estimation of nuisance parameters, selection of bandwidth parameters, nor pre-specification of the number of change points is required. The finite-sample performance shows that our proposal is size-accurate, robust against misspecification of the alternative hypothesis, and more powerful than existing methods. Case studies of NASDAQ option volume and Shanghai-Hong Kong Stock Connect turnover are provided.
提出了一种构造时间序列数据自归一化多变点检验的通用框架。唯一的构建块是用户指定的单更改点检测统计量,它涵盖了广泛的流行方法,包括累积和处理、离群鲁棒秩统计和顺序统计。既不需要对干扰参数进行鲁棒和一致的估计,也不需要选择带宽参数,也不需要预先指定变化点的数量。有限样本的性能表明,我们的建议是尺寸准确的,对备选假设的错误规范的鲁棒性,并且比现有的方法更强大。给出了纳斯达克期权成交量和沪港通成交量的案例分析。
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引用次数: 1
High-dimensional Censored Regression via the Penalized Tobit Likelihood 基于惩罚Tobit似然的高维截尾回归
Pub Date : 2022-03-04 DOI: 10.1080/07350015.2023.2182309
Tate Jacobson, H. Zou
High-dimensional regression and regression with a left-censored response are each well-studied topics. In spite of this, few methods have been proposed which deal with both of these complications simultaneously. The Tobit model -- long the standard method for censored regression in economics -- has not been adapted for high-dimensional regression at all. To fill this gap and bring up-to-date techniques from high-dimensional statistics to the field of high-dimensional left-censored regression, we propose several penalized Tobit models. We develop a fast algorithm which combines quadratic minimization with coordinate descent to compute the penalized Tobit solution path. Theoretically, we analyze the Tobit lasso and Tobit with a folded concave penalty, bounding the $ell_2$ estimation loss for the former and proving that a local linear approximation estimator for the latter possesses the strong oracle property. Through an extensive simulation study, we find that our penalized Tobit models provide more accurate predictions and parameter estimates than other methods. We use a penalized Tobit model to analyze high-dimensional left-censored HIV viral load data from the AIDS Clinical Trials Group and identify potential drug resistance mutations in the HIV genome. Appendices contain intermediate theoretical results and technical proofs.
高维回归和具有左审查响应的回归都是研究得很好的主题。尽管如此,很少有人提出同时处理这两种复杂性的方法。Tobit模型——长期以来一直是经济学中删减回归的标准方法——根本没有被用于高维回归。为了填补这一空白,并将高维统计的最新技术引入高维左删节回归领域,我们提出了几个惩罚Tobit模型。提出了一种将二次最小化与坐标下降相结合的快速算法来计算惩罚Tobit解路径。从理论上分析了Tobit套索和带折叠凹惩罚的Tobit套索,限定了前者的$ell_2$估计损失,证明了后者的局部线性逼近估计量具有强oracle性。通过广泛的模拟研究,我们发现我们的惩罚Tobit模型比其他方法提供更准确的预测和参数估计。我们使用惩罚Tobit模型来分析来自艾滋病临床试验组的高维左删减HIV病毒载量数据,并确定HIV基因组中潜在的耐药突变。附录包含中间的理论结果和技术证明。
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引用次数: 1
Instrumental variable estimation of dynamic treatment effects on a duration outcome 动态治疗对持续结果影响的工具变量估计
Pub Date : 2022-01-26 DOI: 10.1080/07350015.2023.2231053
Jad Beyhum, S. Centorrino, J. Florens, I. Van Keilegom
This paper considers identification and estimation of the causal effect of the time Z until a subject is treated on a survival outcome T. The treatment is not randomly assigned, T is randomly right censored by a random variable C and the time to treatment Z is right censored by min(T,C). The endogeneity issue is treated using an instrumental variable explaining Z and independent of the error term of the model. We study identification in a fully nonparametric framework. We show that our specification generates an integral equation, of which the regression function of interest is a solution. We provide identification conditions that rely on this identification equation. For estimation purposes, we assume that the regression function follows a parametric model. We propose an estimation procedure and give conditions under which the estimator is asymptotically normal. The estimators exhibit good finite sample properties in simulations. Our methodology is applied to find evidence supporting the efficacy of a therapy for burn-out.
本文考虑识别和估计受试者接受治疗前时间Z对生存结果T的因果效应。治疗不是随机分配的,T由随机变量C随机右截,治疗Z的时间由min(T,C)右截。内生性问题是用一个工具变量解释Z和独立于模型的误差项来处理的。我们在完全非参数框架下研究辨识。我们证明,我们的规范产生一个积分方程,其中感兴趣的回归函数是一个解。我们提供了依赖于这个识别方程的识别条件。为了估计的目的,我们假设回归函数遵循参数模型。我们提出了一个估计过程,并给出了估计量渐近正态的条件。该估计器在仿真中表现出良好的有限样本特性。我们的方法是用来寻找证据,支持治疗倦怠的有效性。
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引用次数: 1
Estimating a Continuous Treatment Model with Spillovers: A Control Function Approach 具有溢出效应的连续处理模型的估计:一种控制函数方法
Pub Date : 2021-12-30 DOI: 10.1080/07350015.2023.2207617
Tadao Hoshino
We study a continuous treatment effect model in the presence of treatment spillovers through social networks. We assume that one's outcome is affected not only by his/her own treatment but also by a (weighted) average of his/her neighbors' treatments, both of which are treated as endogenous variables. Using a control function approach with appropriate instrumental variables, we show that the conditional mean potential outcome can be nonparametrically identified. We also consider a more empirically tractable semiparametric model and develop a three-step estimation procedure for this model. As an empirical illustration, we investigate the causal effect of the regional unemployment rate on the crime rate.
我们研究了一个通过社会网络存在治疗溢出的连续治疗效应模型。我们假设一个人的结果不仅受到他/她自己的治疗的影响,而且受到他/她邻居治疗的(加权)平均值的影响,这两者都被视为内生变量。使用控制函数方法和适当的工具变量,我们表明条件平均潜在结果可以非参数识别。我们还考虑了一个经验上更易于处理的半参数模型,并为该模型开发了一个三步估计过程。作为实证分析,我们考察了地区失业率对犯罪率的因果关系。
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引用次数: 0
Matrix Factor Analysis: From Least Squares to Iterative Projection* 矩阵因子分析:从最小二乘到迭代投影*
Pub Date : 2021-12-08 DOI: 10.1080/07350015.2023.2191676
Yong He, Xin-Bing Kong, Long Yu, Xinsheng Zhang, Changwei Zhao
In this article, we study large-dimensional matrix factor models and estimate the factor loading matrices and factor score matrix by minimizing square loss function. Interestingly, the resultant estimators coincide with the Projected Estimators (PE) in Yu et al.(2022), which was proposed from the perspective of simultaneous reduction of the dimensionality and the magnitudes of the idiosyncratic error matrix. In other word, we provide a least-square interpretation of the PE for matrix factor model, which parallels to the least-square interpretation of the PCA for the vector factor model. We derive the convergence rates of the theoretical minimizers under sub-Gaussian tails. Considering the robustness to the heavy tails of the idiosyncratic errors, we extend the least squares to minimizing the Huber loss function, which leads to a weighted iterative projection approach to compute and learn the parameters. We also derive the convergence rates of the theoretical minimizers of the Huber loss function under bounded $(2+epsilon)$th moment of the idiosyncratic errors. We conduct extensive numerical studies to investigate the empirical performance of the proposed Huber estimators relative to the state-of-the-art ones. The Huber estimators perform robustly and much better than existing ones when the data are heavy-tailed, and as a result can be used as a safe replacement in practice. An application to a Fama-French financial portfolio dataset demonstrates the empirical advantage of the Huber estimator.
本文研究了大维矩阵因子模型,通过最小化平方损失函数来估计因子加载矩阵和因子得分矩阵。有趣的是,所得估计量与Yu等人(2022)的投影估计量(PE)相吻合,该估计量是从同时降低特异性误差矩阵的维数和幅度的角度提出的。换句话说,我们为矩阵因子模型提供了PE的最小二乘解释,这与向量因子模型的PCA的最小二乘解释相似。我们导出了在亚高斯尾下理论极小值的收敛速率。考虑到对特殊误差重尾的鲁棒性,我们将最小二乘扩展到最小化Huber损失函数,从而导致加权迭代投影方法来计算和学习参数。我们还推导了Huber损失函数在有界$(2+epsilon)$th阶矩下的理论极小值的收敛速率。我们进行了广泛的数值研究,以调查所提出的Huber估计器相对于最先进的经验性能。当数据是重尾时,Huber估计器的鲁棒性比现有的估计器好得多,因此在实践中可以作为安全的替代。对Fama-French金融组合数据集的应用证明了Huber估计量的经验优势。
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引用次数: 10
Model-assisted complier average treatment effect estimates in randomized experiments with non-compliance 非依从性随机实验中模型辅助编译器平均治疗效果估计
Pub Date : 2021-11-19 DOI: 10.1080/07350015.2023.2224851
Jiyang Ren
In randomized experiments, the actual treatments received by some experimental units may differ from their treatment assignments. This non-compliance issue often occurs in clinical trials, social experiments, and the applications of randomized experiments in many other fields. Under certain assumptions, the average treatment effect for the compliers is identifiable and equal to the ratio of the intention-to-treat effects of the potential outcomes to that of the potential treatment received. To improve the estimation efficiency, we propose three model-assisted estimators for the complier average treatment effect in randomized experiments with a binary outcome. We study their asymptotic properties, compare their efficiencies with that of the Wald estimator, and propose the Neyman-type conservative variance estimators to facilitate valid inferences. Moreover, we extend our methods and theory to estimate the multiplicative complier average treatment effect. Our analysis is randomization-based, allowing the working models to be misspecified. Finally, we conduct simulation studies to illustrate the advantages of the model-assisted methods and apply these analysis methods in a randomized experiment to evaluate the effect of academic services or incentives on academic performance.
在随机实验中,一些实验单位实际接受的治疗可能与他们的治疗任务不同。这种不服从问题经常发生在临床试验、社会实验和许多其他领域的随机实验的应用中。在某些假设下,编纂者的平均治疗效果是可识别的,并且等于潜在结果的意向治疗效果与所接受的潜在治疗效果之比。为了提高估计效率,我们提出了三种模型辅助估计器,用于二元结果随机实验的编译平均处理效果。我们研究了它们的渐近性质,将它们的效率与Wald估计量的效率进行了比较,并提出了neyman型保守方差估计量,以方便有效的推断。此外,我们扩展了我们的方法和理论来估计乘法编译器平均处理效果。我们的分析是基于随机的,允许工作模型被错误指定。最后,我们进行了模拟研究,以说明模型辅助方法的优势,并将这些分析方法应用于随机实验,以评估学术服务或激励对学业成绩的影响。
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引用次数: 2
期刊
Journal of Business & Economic Statistics
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