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Nonparametric prediction distribution from resolution-wise regression with heterogeneous data. 基于异构数据的分辨率明智回归的非参数预测分布
IF 3 2区 数学 Q1 ECONOMICS Pub Date : 2023-01-01 Epub Date: 2022-10-06 DOI: 10.1080/07350015.2022.2115498
Jialu Li, Wan Zhang, Peiyao Wang, Qizhai Li, Kai Zhang, Yufeng Liu

Modeling and inference for heterogeneous data have gained great interest recently due to rapid developments in personalized marketing. Most existing regression approaches are based on the conditional mean and may require additional cluster information to accommodate data heterogeneity. In this paper, we propose a novel nonparametric resolution-wise regression procedure to provide an estimated distribution of the response instead of one single value. We achieve this by decomposing the information of the response and the predictors into resolutions and patterns respectively based on marginal binary expansions. The relationships between resolutions and patterns are modeled by penalized logistic regressions. Combining the resolution-wise prediction, we deliver a histogram of the conditional response to approximate the distribution. Moreover, we show a sure independence screening property and the consistency of the proposed method for growing dimensions. Simulations and a real estate valuation dataset further illustrate the effectiveness of the proposed method.

随着个性化营销的迅速发展,异构数据的建模和推理受到了广泛关注。大多数现有的回归方法都是基于条件均值的,可能需要额外的聚类信息来适应数据的异质性。在本文中,我们提出了一种新的非参数分辨率回归过程,以提供响应的估计分布而不是单一值。我们通过将响应和预测的信息分别分解为基于边际二进制展开的分辨率和模式来实现这一点。分辨率和模式之间的关系通过惩罚逻辑回归建模。结合分辨率预测,我们提供了条件响应的直方图来近似分布。此外,我们还证明了该方法具有一定的独立筛选性和增长维数的一致性。仿真和一个房地产估值数据集进一步证明了该方法的有效性。
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引用次数: 2
Male Earnings Volatility in LEHD before, during, and after the Great Recession. 大衰退之前、期间和之后 LEHD 的男性收入波动性。
IF 3 2区 数学 Q1 ECONOMICS Pub Date : 2023-01-01 Epub Date: 2022-10-27 DOI: 10.1080/07350015.2022.2126479
Kevin L McKinney, John M Abowd

This paper is part of a coordinated collection of papers on prime-age male earnings volatility. Each paper produces a similar set of statistics for the same reference population using a different primary data source. Our primary data source is the Census Bureau's Longitudinal Employer-Household Dynamics (LEHD) infrastructure files. Using LEHD data from 1998 to 2016, we create a well-defined population frame to facilitate accurate estimation of temporal changes comparable to designed longitudinal samples of people. We show that earnings volatility, excluding increases during recessions, has declined over the analysis period, a finding robust to various sensitivity analyses.

本文是关于壮年男性收入波动性的协调论文集的一部分。每篇论文都使用不同的主要数据源为相同的参考人群提供了一组类似的统计数据。我们的主要数据来源是人口普查局的纵向雇主-家庭动态(LEHD)基础设施文件。利用 1998 年至 2016 年的 LEHD 数据,我们创建了一个定义明确的人口框架,便于准确估计与设计的纵向人口样本相当的时间变化。我们的研究表明,除去经济衰退期间的增长,收入波动性在分析期间有所下降,这一结论在各种敏感性分析中都是稳健的。
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引用次数: 6
Robust Covariance Matrix Estimation for High-Dimensional Compositional Data with Application to Sales Data Analysis. 高维成分数据的稳健协方差矩阵估计及其在销售数据分析中的应用
IF 3 2区 数学 Q1 ECONOMICS Pub Date : 2023-01-01 Epub Date: 2022-09-21 DOI: 10.1080/07350015.2022.2106990
Danning Li, Arun Srinivasan, Qian Chen, Lingzhou Xue

Compositional data arises in a wide variety of research areas when some form of standardization and composition is necessary. Estimating covariance matrices is of fundamental importance for high-dimensional compositional data analysis. However, existing methods require the restrictive Gaussian or sub-Gaussian assumption, which may not hold in practice. We propose a robust composition adjusted thresholding covariance procedure based on Huber-type M-estimation to estimate the sparse covariance structure of high-dimensional compositional data. We introduce a cross-validation procedure to choose the tuning parameters of the proposed method. Theoretically, by assuming a bounded fourth moment condition, we obtain the rates of convergence and signal recovery property for the proposed method and provide the theoretical guarantees for the cross-validation procedure under the high-dimensional setting. Numerically, we demonstrate the effectiveness of the proposed method in simulation studies and also a real application to sales data analysis.

摘要当需要某种形式的标准化和合成时,合成数据出现在各种各样的研究领域。估计协方差矩阵对于高维成分数据分析至关重要。然而,现有的方法需要限制性的高斯或亚高斯假设,这在实践中可能不成立。我们提出了一种基于Huber型M-估计的稳健组合调整阈值协方差过程来估计高维组合数据的稀疏协方差结构。我们引入了一个交叉验证程序来选择所提出方法的调谐参数。理论上,通过假设有界四阶矩条件,我们获得了所提出方法的收敛速度和信号恢复特性,并为高维设置下的交叉验证过程提供了理论保证。通过数值计算,我们证明了所提出的方法在模拟研究中的有效性,并将其实际应用于销售数据分析。
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引用次数: 0
A Time-Varying Network for Cryptocurrencies 加密货币的时变网络
IF 3 2区 数学 Q1 ECONOMICS Pub Date : 2022-11-11 DOI: 10.1080/07350015.2022.2146695
Li Guo, Wolfgang Karl Härdle, Yubo Tao

Abstract

Cryptocurrencies return cross-predictability and technological similarity yield information on risk propagation and market segmentation. To investigate these effects, we build a time-varying network for cryptocurrencies, based on the evolution of return cross-predictability and technological similarities. We develop a dynamic covariate-assisted spectral clustering method to consistently estimate the latent community structure of cryptocurrencies network that accounts for both sets of information. We demonstrate that investors can achieve better risk diversification by investing in cryptocurrencies from different communities. A cross-sectional portfolio that implements an inter-crypto momentum trading strategy earns a 1.08% daily return. By dissecting the portfolio returns on behavioral factors, we confirm that our results are not driven by behavioral mechanisms.

摘要加密货币的收益交叉可预测性和技术相似性提供了有关风险传播和市场细分的信息。为了研究这些影响,我们根据回报交叉可预测性和技术相似性的演变,为加密货币建立了一个时变网络。我们开发了一种动态协变量辅助光谱聚类方法,以持续估算加密货币网络的潜在社区结构,该方法同时考虑了这两组信息。我们证明,投资者可以通过投资不同社区的加密货币实现更好的风险分散。实施加密货币间动量交易策略的横截面投资组合的日收益率为 1.08%。通过对行为因素的投资组合回报进行剖析,我们证实了我们的结果并非由行为机制驱动。
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引用次数: 0
From Conditional Quantile Regression to Marginal Quantile Estimation with Applications to Missing Data and Causal Inference 从条件分位数回归到边际分位数估计及其在缺失数据和因果推理中的应用
IF 3 2区 数学 Q1 ECONOMICS Pub Date : 2022-10-26 DOI: 10.1080/07350015.2022.2140158
Huijuan Ma, J. Qin, Yong Zhou
Abstract It is well known that information on the conditional distribution of an outcome variable given covariates can be used to obtain an enhanced estimate of the marginal outcome distribution. This can be done easily by integrating out the marginal covariate distribution from the conditional outcome distribution. However, to date, no analogy has been established between marginal quantile and conditional quantile regression. This article provides a link between them. We propose two novel marginal quantile and marginal mean estimation approaches through conditional quantile regression when some of the outcomes are missing at random. The first of these approaches is free from the need to choose a propensity score. The second is double robust to model misspecification: it is consistent if either the conditional quantile regression model is correctly specified or the missing mechanism of outcome is correctly specified. Consistency and asymptotic normality of the two estimators are established, and the second double robust estimator achieves the semiparametric efficiency bound. Extensive simulation studies are performed to demonstrate the utility of the proposed approaches. An application to causal inference is introduced. For illustration, we apply the proposed methods to a job training program dataset.
摘要众所周知,给定协变量的结果变量的条件分布信息可以用于获得边际结果分布的增强估计。这可以很容易地通过从条件结果分布中积分出边际协变量分布来实现。然而,到目前为止,边际分位数和条件分位数回归之间还没有建立类比。本文提供了它们之间的链接。当一些结果随机缺失时,我们通过条件分位数回归提出了两种新的边际分位数和边际均值估计方法。第一种方法不需要选择倾向评分。第二种是对模型错误指定的双重鲁棒性:如果条件分位数回归模型被正确指定或结果的缺失机制被正确指定,则它是一致的。建立了两个估计量的一致性和渐近正态性,第二个双鲁棒估计量达到了半参数有效界。进行了大量的模拟研究,以证明所提出的方法的实用性。介绍了因果推理的一个应用。为了举例说明,我们将所提出的方法应用于工作培训计划数据集。
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引用次数: 0
Spectral Estimation of Large Stochastic Blockmodels with Discrete Nodal Covariates 离散节点协变量大随机块模型的谱估计
IF 3 2区 数学 Q1 ECONOMICS Pub Date : 2022-10-26 DOI: 10.1080/07350015.2022.2139709
A. Mele, Lingxin Hao, J. Cape, C. Priebe
Abstract In many applications of network analysis, it is important to distinguish between observed and unobserved factors affecting network structure. We show that a network model with discrete unobserved link heterogeneity and binary (or discrete) covariates corresponds to a stochastic blockmodel (SBM). We develop a spectral estimator for the effect of covariates on link probabilities, exploiting the correspondence of SBMs and generalized random dot product graphs (GRDPG). We show that computing our estimator is much faster than standard variational expectation–maximization algorithms and scales well for large networks. Monte Carlo experiments suggest that the estimator performs well under different data generating processes. Our application to Facebook data shows evidence of homophily in gender, role and campus-residence, while allowing us to discover unobserved communities. Finally, we establish asymptotic normality of our estimators.
在网络分析的许多应用中,区分影响网络结构的可观察因素和不可观察因素是很重要的。我们证明了具有离散未观察到的链路异质性和二元(或离散)协变量的网络模型对应于随机块模型(SBM)。利用sbm和广义随机点积图(GRDPG)的对应关系,开发了协变量对链路概率影响的谱估计器。我们表明,计算我们的估计器比标准的变分期望最大化算法快得多,并且对于大型网络可以很好地扩展。蒙特卡罗实验表明,该估计器在不同的数据生成过程中都具有良好的性能。我们对Facebook数据的应用显示了性别、角色和校园居住的同一性,同时允许我们发现未被观察到的社区。最后,我们建立了估计量的渐近正态性。
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引用次数: 3
Identifying Structural Vector Autoregression via Leptokurtic Economic Shocks 通过Leptokurtic经济冲击识别结构向量自回归
IF 3 2区 数学 Q1 ECONOMICS Pub Date : 2022-10-13 DOI: 10.1080/07350015.2022.2134872
Markku Lanne, Keyan Liu, Jani Luoto
Abstract We revisit the generalized method of moments (GMM) estimation of the non-Gaussian structural vector autoregressive (SVAR) model. It is shown that in the n-dimensional SVAR model, global and local identification of the contemporaneous impact matrix is achieved with as few as suitably selected moment conditions, when at least n – 1 of the structural errors are all leptokurtic (or platykurtic). We also relax the potentially problematic assumption of mutually independent structural errors in part of the previous literature to the requirement that the errors be mutually uncorrelated. Moreover, we assume the error term to be only serially uncorrelated, not independent in time, which allows for univariate conditional heteroscedasticity in its components. A small simulation experiment highlights the good properties of the estimator and the proposed moment selection procedure. The use of the methods is illustrated by means of an empirical application to the effect of a tax increase on U.S. gasoline consumption and carbon dioxide emissions.
摘要我们重新讨论了非高斯结构向量自回归(SVAR)模型的广义矩估计方法。研究表明,在n维SVAR模型中,当至少有n-1个结构误差都是薄kurtic(或扁kurtic)时,只要选择适当的力矩条件,就可以实现对同期冲击矩阵的全局和局部识别。我们还将先前文献中关于相互独立的结构误差的潜在问题假设放宽为误差相互不相关的要求。此外,我们假设误差项在时间上只是串行不相关的,而不是独立的,这允许其分量中的单变量条件异方差。一个小型仿真实验突出了估计器和所提出的矩选择程序的良好性能。通过对美国汽油消费和二氧化碳排放增税影响的实证应用,说明了这些方法的使用。
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引用次数: 5
Narrative Restrictions and Proxies: Rejoinder 叙述限制和代理:复辩状
IF 3 2区 数学 Q1 ECONOMICS Pub Date : 2022-10-02 DOI: 10.1080/07350015.2022.2115710
R. Giacomini, T. Kitagawa, Matthew Read
This rejoinder addresses the discussants’ specific comments on the article “Narrative Restrictions and Proxies” (Section 2) as well as more general comments on the approach to robust Bayesian inference that we have proposed in previous work (Section 1).
本答辩针对讨论者对文章“叙事限制和代理”(第2节)的具体评论,以及对我们在之前的工作中提出的稳健贝叶斯推断方法的更一般的评论(第1节)。
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引用次数: 1
Comments on “Narrative Restrictions and Proxies” by Giacomini, Kitagawa, and Read Giacomini、Kitagawa和Read的“叙事限制与代理”评论
IF 3 2区 数学 Q1 ECONOMICS Pub Date : 2022-10-02 DOI: 10.1080/07350015.2022.2102021
J. Rubio-Ramirez
The views expressed in this paper are solely those of the author and do not necessarily reflect the views of the Federal Reserve Bank of Atlanta or the Federal Reserve System. Any errors or omissions are the responsibility of the author. No statements here should be treated as legal advice. Preliminary and Incomplete. Do not circulate without consent from the author.
本文所表达的观点仅仅是作者的观点,并不一定反映亚特兰大联邦储备银行或联邦储备系统的观点。任何错误或遗漏是作者的责任。这里的任何陈述都不应被视为法律建议。初步和不完整。未经作者同意,请勿传阅。
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引用次数: 0
Discussion of “Narrative Restrictions and Proxies” by Raffaella Giacomini, Toru Kitagawa, and Matthew Read 论贾科米尼、北川彻、里德的“叙事限制与代理”
IF 3 2区 数学 Q1 ECONOMICS Pub Date : 2022-10-02 DOI: 10.1080/07350015.2022.2096042
Mikkel Plagborg-Møller
I am grateful for the chance to discuss this characteristically insightful paper by Giacomini, Kitagawa, and Read (hence-forth GKR). Since the seminal contribution of Antolín-Díaz and Rubio-Ramírez (2018), narrative restrictions have rapidly become one of the go-to tools for sharpening causal inference in SVAR analysis. Giacomini, Kitagawa, and Read (2021) con-tributed greatly to our understanding of the role of subjective prior beliefs and the appropriate form of the likelihood function when exploiting such narrative information. In the new paper that is the topic of this discussion, GKR compare their pre-ferred prior-robust Bayesian inference procedure with an alter-native approach that constructs categorical proxy variables from the narrative information and uses these to estimate impulse responses via instrumental variable (IV) regressions. GKR argue that the proxy approach will likely suffer from weak IV problems when we only have narrative restrictions for a few time periods, as is often the case in practice. To add insult to injury, this cannot be addressed using existing techniques for weak-IV-robust inference in SVARs (Montiel Olea, Stock, and Watson 2021).Inthe following I will make two points. First, the proxy approach to exploiting narrative information has several appeal-ing robustness properties relative to the likelihood approaches of Antolín-Díaz and Rubio-Ramírez (2018) and Giacomini, Kita-gawa, and Read (2021): The proxy approach allows the narrative signals to be imperfect and arrive non-randomly, and further-more, the economic shocks are allowed to be non-invertible (also known as non-fundamental). Second, the weak IV prob-lem that GKR discuss can be overcome by using procedures designed for small samples, such as permutation tests.
我很感激有机会讨论Giacomini、Kitagawa和Read(因此是GKR)撰写的这篇极具洞察力的论文。自Antolín-Díaz和Rubio Ramírez(2018)的开创性贡献以来,叙事限制已迅速成为SVAR分析中强化因果推断的常用工具之一。Giacomini、Kitagawa和Read(2021)极大地促进了我们对主观先验信念的作用以及在利用此类叙事信息时可能性函数的适当形式的理解。在这篇讨论的新论文中,GKR将他们先前提出的稳健贝叶斯推理程序与另一种原生方法进行了比较,该方法从叙述信息中构建分类代理变量,并使用这些变量通过工具变量(IV)回归来估计冲动反应。GKR认为,当我们只有几个时间段的叙述限制时,代理方法可能会遇到弱IV问题,这在实践中经常发生。雪上加霜的是,在SVAR中使用现有的弱IV鲁棒推理技术无法解决这一问题(Montiel Olea,Stock和Watson 2021)。在下文中,我将提出两点。首先,与Antolín-Díaz和Rubio Ramírez(2018)以及Giacomini、Kita gawa和Read(2021)的可能性方法相比,利用叙事信息的代理方法具有几个吸引人的稳健性特性:代理方法允许叙事信号不完美且非随机到达,此外,经济冲击被允许是不可逆的(也称为非根本性的)。其次,GKR讨论的弱IV问题可以通过使用为小样本设计的程序来克服,例如排列测试。
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引用次数: 1
期刊
Journal of Business & Economic Statistics
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