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Testing for time-varying factor loadings in high-dimensional factor models 高维因子模型中时变因子负荷的测试
IF 1.2 4区 经济学 Q3 ECONOMICS Pub Date : 2022-05-30 DOI: 10.1080/07474938.2022.2074188
Wen Xu
Abstract This paper proposes a test for structural changes in factor loadings in high-dimensional factor models under weak serial and cross-sectional dependence. The test is an aggregate statistic in the form of the maximum of the variable-specific statistics whose asymptotic null distribution and local power property are studied. Two approaches including extreme value theory and Bonferroni correction are adopted to compute the critical values of the aggregate test statistic. Monte Carlo simulations reveal the non-trivial power of the proposed test against various types of structural changes, including abrupt changes, nonrandom smooth changes, random-walk variations and stationary variations. Additionally, our test can be more powerful than some alternative tests in the considered scenarios. The usefulness of the test is illustrated by an empirical application to Stock and Watson’s U.S. data set.
摘要本文提出了在弱序列依赖性和横截面依赖性条件下高维因子模型中因子负荷结构变化的检验方法。该检验是研究渐近零分布和局部幂性质的变量特异统计量的最大值形式的集合统计量。采用极值理论和Bonferroni校正两种方法计算聚合检验统计量的临界值。蒙特卡罗模拟揭示了所提出的测试对各种类型的结构变化的非平凡能力,包括突变、非随机平滑变化、随机行走变化和平稳变化。此外,在考虑的场景中,我们的测试可能比一些替代测试更强大。对斯托克和沃森的美国数据集的实证应用说明了该测试的有效性。
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引用次数: 2
A state-space approach to time-varying reduced-rank regression 时变降秩回归的状态空间方法
IF 1.2 4区 经济学 Q3 ECONOMICS Pub Date : 2022-05-28 DOI: 10.1080/07474938.2022.2073743
B. Brune, W. Scherrer, E. Bura
Abstract We propose a new approach to reduced-rank regression that allows for time-variation in the regression coefficients. The Kalman filter based estimation allows for usage of standard methods and easy implementation of our procedure. The EM-algorithm ensures convergence to a local maximum of the likelihood. Our estimation approach in time-varying reduced-rank regression performs well in simulations, with amplified competitive advantage in time series that experience large structural changes. We illustrate the performance of our approach with a simulation study and two applications to stock index and Covid-19 case data.
摘要我们提出了一种新的降阶回归方法,该方法允许回归系数随时间变化。基于卡尔曼滤波器的估计允许使用标准方法并易于实现我们的过程。EM算法确保收敛到似然的局部最大值。我们在时变降秩回归中的估计方法在模拟中表现良好,在经历大的结构变化的时间序列中具有放大的竞争优势。我们通过模拟研究和股票指数和新冠肺炎病例数据的两个应用来说明我们的方法的性能。
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引用次数: 1
Unified M-estimation of matrix exponential spatial dynamic panel specification 矩阵指数空间动态面板规格的统一m估计
IF 1.2 4区 经济学 Q3 ECONOMICS Pub Date : 2022-05-14 DOI: 10.1080/07474938.2022.2039494
Ye Yang
Abstract In this paper, a unified M-estimation method in Yang (2018) is extended to the matrix exponential spatial dynamic panel specification (MESDPS) with fixed effects in short panels. Similar to the STLE model which includes the spatial lag effect, the space-time effect and the spatial error effect in Yang (2018), the quasi-maximum likelihood (QML) estimation for MESDPS also has the initial condition specification problem. The initial-condition free M-estimator in this paper solves this problem and is proved to be consistent and asymptotically normal. An outer product of martingale difference (OPMD) estimator for the variance-covariance (VC) matrix of the M-estimator is also derived and proved to be consistent. The finite sample property of the M-estimator is studied through an extensive Monte Carlo study. The method is applied to US outward FDI data to show its validity.
摘要本文将Yang(2018)的统一m估计方法推广到具有固定效应的矩阵指数空间动态面板规格(MESDPS)。与Yang(2018)中包含空间滞后效应、时空效应和空间误差效应的STLE模型类似,MESDPS的拟极大似然(QML)估计也存在初始条件规范问题。本文提出的无初始条件的m估计量解决了这一问题,并证明了其一致性和渐近正态性。对m -估计量的方差-协方差(VC)矩阵给出了鞅差分估计量的外积,并证明了其一致性。通过广泛的蒙特卡罗研究,研究了m估计量的有限样本性质。通过对美国对外直接投资数据的分析,验证了该方法的有效性。
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引用次数: 0
Binary outcomes, OLS, 2SLS and IV probit 二元结果,OLS、2SLS和IV probit
IF 1.2 4区 经济学 Q3 ECONOMICS Pub Date : 2022-05-13 DOI: 10.1080/07474938.2022.2072321
Chuhui Li, D. Poskitt, F. Windmeijer, Xueyan Zhao
Abstract For a binary outcome Y, generated by a simple threshold crossing model with a single exogenous normally distributed explanatory variable X, the OLS estimator of the coefficient on X in a linear probability model is a consistent estimator of the average partial effect of X. Even in this very simple setting, we show that when allowing for X to be endogenously determined, the 2SLS estimator, using a normally distributed instrumental variable Z, does not identify the same causal parameter. It instead estimates the average partial effect of Z, scaled by the coefficient on Z in the linear first-stage model for X, denoted γ 1, or equivalently, it estimates the average partial effect of the population predicted value of X, These causal parameters can differ substantially as we show for the normal Probit model, which implies that care has to be taken when interpreting 2SLS estimation results in a linear probability model. Under joint normality of the error terms, IV Probit maximum likelihood estimation does identify the average partial effect of X. The two-step control function procedure of Rivers and Vuong can also estimate this causal parameter consistently, but a double averaging is needed, one over the distribution of the first-stage error V and one over the distribution of X. If instead a single averaging is performed over the joint distribution of X and V, then the same causal parameter is estimated as the one estimated by the 2SLS estimator in the linear probability model. The 2SLS estimator is a consistent estimator when the average partial effect is equal to 0, and the standard Wald test for this hypothesis has correct size under strong instrument asymptotics. We show that, in general, the standard weak instrument first-stage F-test interpretations do not apply in this setting.
摘要对于由具有单个外生正态分布解释变量X的简单阈值交叉模型生成的二元结果Y,线性概率模型中X上系数的OLS估计量是X的平均偏效应的一致估计量。即使在这个非常简单的设置中,我们也表明,当允许X内生确定时,使用正态分布的工具变量Z的方法不能识别相同的因果参数。相反,它估计了Z的平均部分效应,由X的线性第一阶段模型中Z上的系数缩放,表示为γ1,或者等效地,它估计X的总体预测值的平均部分影响。这些因果参数可能会有很大的不同,正如我们在正态Probit模型中所示,这意味着在解释线性概率模型中的2SLS估计结果时必须小心。在误差项的联合正态性下,IV-Probit最大似然估计确实确定了X的平均部分效应。Rivers和Vuong的两步控制函数程序也可以一致地估计这个因果参数,但需要双重平均,一个在第一阶段误差V的分布上,一个是在X的分布上。相反,如果在X和V的联合分布上执行单个平均,则估计与线性概率模型中的2SLS估计器估计的因果参数相同的因果参数。当平均部分效应等于0时,2SLS估计量是一致估计量,并且该假设的标准Wald检验在强仪器渐近性下具有正确的大小。我们表明,一般来说,标准的弱仪器第一阶段F检验解释不适用于这种情况。
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引用次数: 5
A new Bayesian model for contagion and interdependence 传染和相互依赖的新贝叶斯模型
IF 1.2 4区 经济学 Q3 ECONOMICS Pub Date : 2022-05-13 DOI: 10.1080/07474938.2022.2072319
Aubrey Poon, Dan Zhu
Abstract We develop a flexible Bayesian time-varying parameter model with a Leamer correction to measure contagion and interdependence. Our proposed framework facilitates a model-based identification mechanism for static and dynamic interdependence. We also allow for fat-tails stochastic volatility within the model, which enables us to capture volatility clustering and outliers in high-frequency financial data. We apply our new proposed framework to two empirical applications: the Chilean foreign exchange market during the Argentine crisis of 2001 and the recent Covid-19 pandemic in the United Kingdom. We find no evidence of contagion effects from Argentina or Brazil to Chile and three additional key insights compared to Ciccarelli and Rebucci 2006 study. For the Covid-19 pandemic application, our results convey that the United Kingdom government was largely ineffective in preventing the importation of Covid-19 cases from European countries during the second wave of the pandemic.
摘要:我们建立了一个具有Leamer校正的灵活贝叶斯时变参数模型来测量传染和相互依赖。我们提出的框架促进了静态和动态相互依赖的基于模型的识别机制。我们还允许模型中的肥尾随机波动,这使我们能够捕获高频金融数据中的波动聚类和异常值。我们将新提出的框架应用于两个实证应用:2001年阿根廷危机期间的智利外汇市场和最近在英国发生的Covid-19大流行。与Ciccarelli和recci 2006年的研究相比,我们没有发现从阿根廷或巴西到智利的传染效应的证据,以及三个额外的关键见解。对于Covid-19大流行应用,我们的研究结果表明,在第二波大流行期间,英国政府在阻止从欧洲国家输入Covid-19病例方面基本上是无效的。
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引用次数: 0
Testing independence between exogenous variables and unobserved errors 检验外生变量和未观察到的误差之间的独立性
IF 1.2 4区 经济学 Q3 ECONOMICS Pub Date : 2022-04-18 DOI: 10.1080/07474938.2022.2039493
Shuo Li, Liuhua Peng, Y. Tu
Abstract Although the exogeneity condition is usually used in many econometric models to identify parameters, the stronger restriction that the error term is independent of a vector of exogenous variables might lead to theoretical benefits. In this paper, we develop a unified methodology for testing the independence assumption. Our methodology can deal with a wide class of parametric models and allows for endogeneity and instrumental variables. In the first-step development, we construct tests that are continuous functionals of the estimated difference of the joint distribution and the product marginal distributions. Next, to remedy the dimensionality issue that arises when the dimension of the exogenous random vector is large, we propose a multiple testing approach which combines marginal p-values obtained by employing the original tests to test independence between the error term and each exogenous variable, while taking full account of the multiplicity nature of the testing problem. We obtain null limiting distributions of our tests, establish the testing consistency, and justify the sensitivity to -local alternatives, with n the sample size. The multiplier bootstrap is employed to estimate the critical values. Our methodology is illustrated in the linear regression, the instrumental variables regression, and the nonlinear quantile regression. Our tests are found to perform well in simulations and are demonstrated via an empirical example.
虽然在许多计量经济模型中通常使用外生性条件来识别参数,但更强的误差项独立于外生变量向量的限制可能会带来理论上的好处。在本文中,我们开发了一个统一的方法来检验独立性假设。我们的方法可以处理广泛的参数模型,并允许内生性和工具变量。在第一步开发中,我们构造了联合分布和乘积边际分布估计差的连续函数检验。接下来,为了解决外生随机向量的维数较大时出现的维数问题,我们提出了一种多重检验方法,该方法结合使用原始检验获得的边际p值来检验误差项与每个外生变量之间的独立性,同时充分考虑到检验问题的多重性。我们获得了检验的零极限分布,建立了检验一致性,并证明了对n个样本量的-局部替代方案的敏感性。采用乘法器自举法估计临界值。我们的方法用线性回归、工具变量回归和非线性分位数回归来说明。我们的测试在模拟中表现良好,并通过实例进行了验证。
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引用次数: 2
Model selection and model averaging for matrix exponential spatial models 矩阵指数空间模型的模型选择和模型平均
IF 1.2 4区 经济学 Q3 ECONOMICS Pub Date : 2022-03-21 DOI: 10.1080/07474938.2022.2047507
Ye Yang, Osman Doğan, Suleyman Taspinar
Abstract In this paper, we focus on a model specification problem in spatial econometric models when an empiricist needs to choose from a pool of candidates for the spatial weights matrix. We propose a model selection (MS) procedure for the matrix exponential spatial specification (MESS), when the true spatial weights matrix may not be in the set of candidate spatial weights matrices. We show that the selection estimator is asymptotically optimal in the sense that asymptotically it is as efficient as the infeasible estimator that uses the best candidate spatial weights matrix. The proposed selection procedure is also consistent in the sense that when the data generating process involves spatial effects, it chooses the true spatial weights matrix with probability approaching one in large samples. We also propose a model averaging (MA) estimator that compromises across a set of candidate models. We show that it is asymptotically optimal. We further flesh out how to extend the proposed selection and averaging schemes to higher order specifications and to the MESS with heteroscedasticity. Our Monte Carlo simulation results indicate that the MS and MA estimators perform well in finite samples. We also illustrate the usefulness of the proposed MS and MA schemes in a spatially augmented economic growth model.
摘要在本文中,当经验主义者需要从空间权重矩阵的候选库中进行选择时,我们关注空间计量经济模型中的模型规范问题。当真正的空间权重矩阵可能不在候选空间权重矩阵的集合中时,我们提出了矩阵指数空间规范(MESS)的模型选择(MS)过程。我们证明了选择估计器是渐近最优的,因为它渐近地与使用最佳候选空间权重矩阵的不可行估计器一样有效。所提出的选择过程也是一致的,因为当数据生成过程涉及空间效应时,它选择真实的空间权重矩阵,其概率接近大样本中的一个。我们还提出了一种模型平均(MA)估计器,该估计器在一组候选模型之间进行折衷。我们证明了它是渐近最优的。我们进一步充实了如何将所提出的选择和平均方案扩展到高阶规范和具有异方差的MESS。我们的蒙特卡罗模拟结果表明,MS和MA估计量在有限样本中表现良好。我们还说明了所提出的MS和MA方案在空间增强经济增长模型中的有用性。
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引用次数: 2
Optimal model averaging for divergent-dimensional Poisson regressions 发散维泊松回归的最优模型平均
IF 1.2 4区 经济学 Q3 ECONOMICS Pub Date : 2022-03-15 DOI: 10.1080/07474938.2022.2047508
Jiahui Zou, Wendung Wang, Xinyu Zhang, Guohua Zou
Abstract This paper proposes a new model averaging method to address model uncertainty in Poisson regressions, allowing the dimension of covariates to increase with the sample size. We derive an unbiased estimator of the Kullback–Leibler (KL) divergence to choose averaging weights. We show that when all candidate models are misspecified, the proposed estimate is asymptotically optimal by achieving the least KL divergence among all possible averaging estimators. In another situation where correct models exist in the model space, our method can produce consistent coefficient estimates. We apply the proposed techniques to study the determinants and predict corporate innovation outcomes measured by the number of patents.
摘要本文提出了一种新的模型平均方法来解决泊松回归模型的不确定性,允许协变量的维数随样本量的增加而增加。我们导出了Kullback-Leibler (KL)散度的无偏估计量来选择平均权值。我们证明,当所有候选模型都被错误指定时,通过在所有可能的平均估计中实现最小的KL散度,所提出的估计是渐近最优的。在模型空间中存在正确模型的另一种情况下,我们的方法可以产生一致的系数估计。我们运用所提出的技术来研究决定因素,并预测以专利数量衡量的企业创新成果。
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引用次数: 10
Adaptive information-based methods for determining the co-integration rank in heteroskedastic VAR models 异方差VAR模型中确定协整秩的自适应信息方法
IF 1.2 4区 经济学 Q3 ECONOMICS Pub Date : 2022-02-05 DOI: 10.1080/07474938.2023.2222633
H. Boswijk, Giuseppe Cavaliere, L. Angelis, A. Taylor
Abstract Standard methods, such as sequential procedures based on Johansen’s (pseudo-)likelihood ratio (PLR) test, for determining the co-integration rank of a vector autoregressive (VAR) system of variables integrated of order one can be significantly affected, even asymptotically, by unconditional heteroskedasticity (non-stationary volatility) in the data. Known solutions to this problem include wild bootstrap implementations of the PLR test or the use of an information criterion, such as the BIC, to select the co-integration rank. Although asymptotically valid in the presence of heteroskedasticity, these methods can display very low finite sample power under some patterns of non-stationary volatility. In particular, they do not exploit potential efficiency gains that could be realized in the presence of non-stationary volatility by using adaptive inference methods. Under the assumption of a known autoregressive lag length, Boswijk and Zu develop adaptive PLR test based methods using a non-parametric estimate of the covariance matrix process. It is well-known, however, that selecting an incorrect lag length can significantly impact on the efficacy of both information criteria and bootstrap PLR tests to determine co-integration rank in finite samples. We show that adaptive information criteria-based approaches can be used to estimate the autoregressive lag order to use in connection with bootstrap adaptive PLR tests, or to jointly determine the co-integration rank and the VAR lag length and that in both cases they are weakly consistent for these parameters in the presence of non-stationary volatility provided standard conditions hold on the penalty term. Monte Carlo simulations are used to demonstrate the potential gains from using adaptive methods and an empirical application to the U.S. term structure is provided.
标准方法,如基于Johansen(伪)似然比(PLR)检验的顺序程序,用于确定一阶积分变量的向量自回归(VAR)系统的协整秩,可能受到数据中的无条件异方差(非平稳波动)的显著影响,甚至是渐近的影响。这个问题的已知解决方案包括PLR测试的野生引导实现或使用信息标准,例如BIC,来选择协整等级。虽然这些方法在异方差存在下是渐近有效的,但在一些非平稳波动模式下,这些方法可以显示非常低的有限样本功率。特别是,它们没有利用使用自适应推理方法在存在非平稳波动时可以实现的潜在效率增益。在已知自回归滞后长度的假设下,Boswijk和Zu开发了基于自适应PLR检验的方法,使用协方差矩阵过程的非参数估计。然而,众所周知,选择不正确的滞后长度会显著影响信息标准和自举PLR检验在有限样本中确定协整秩的有效性。我们表明,基于自适应信息准则的方法可用于估计与自举自适应PLR检验相关的自回归滞后顺序,或共同确定协整等级和VAR滞后长度,并且在两种情况下,如果存在非平稳波动,则提供惩罚项的标准条件,它们对于这些参数是弱一致的。蒙特卡罗模拟用于证明使用自适应方法的潜在收益,并提供了对美国期限结构的经验应用。
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引用次数: 0
Large dimensional portfolio allocation based on a mixed frequency dynamic factor model 基于混合频率动态因子模型的大维投资组合配置
IF 1.2 4区 经济学 Q3 ECONOMICS Pub Date : 2022-02-02 DOI: 10.1080/07474938.2021.1983327
Siyang Peng, Shaojun Guo, Yonghong Long
Abstract In this paper, we propose a mixed-frequency dynamic factor model (MFDFM) taking into account the high-frequency variation and low-frequency variation at the same time. The factor loadings in our model are affected by the past quadratic variation of factor returns, while the process of the factor quadratic variation is under a mixed-frequency framework (DCC-RV). By combing the variations from the high-frequency and low-frequency domain, our approach exhibits a better estimation and forecast of the assets covariance matrix. Our empirical study compares our MFDFM model with the sample realized covariance matrix and the traditional factor model with intraday returns or daily returns. The results of the empirical study indicate that our proposed model indeed outperforms other models in the sense that the Markowitz’s portfolios based on the MFDFM have a better performance.
摘要在本文中,我们提出了一个同时考虑高频变化和低频变化的混合频率动态因素模型(MFDFM)。我们模型中的因子负荷受到过去因子收益的二次变化的影响,而因子二次变化过程是在混合频率框架下(DCC-RV)。通过结合高频和低频域的变化,我们的方法对资产协方差矩阵进行了更好的估计和预测。我们的实证研究将我们的MFDFM模型与样本实现的协方差矩阵进行了比较,并将传统的因子模型与日内收益或日内收益进行了比较。实证研究的结果表明,我们提出的模型确实优于其他模型,因为基于MFDFM的Markowitz投资组合具有更好的性能。
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引用次数: 0
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Econometric Reviews
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