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Estimation of Direct and Indirect Quantile Treatment Effects with Double Machine Learning

利用双重机器学习估计直接与间接分位数处理效应

We propose a framework to disentangle the quantile treatment effect of a binary treatment at a specific rank into an indirect quantile treatment effect that operates through a mediator and an unmediated direct quantile treatment effect. We establish identification results for these effects under the sequential ignorability assumption and propose double/debiased machine learning estimators, based on the efficient influence functions of the cumulative distribution functions of…

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Life-Cycle Bias Adjustment and Intergenerational Association in Crime

生命周期偏差调整与犯罪的代际关联

Using age-specific measures as proxies for lifetime outcomes can introduce bias into estimates of intergenerational associations. We extend the generalized errors-in-variables (GEiV) model to the estimation of intergenerational crime associations and implement a data-driven method to correct for life-cycle bias. The GEiV adjustment accounts for both the extensive and intensive margins and introduces an elasticity estimator that accommodates zeros. Our results show that…

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Graphical Copula GARCH Modeling with Dynamic Conditional Dependence

具有动态条件依赖的图形 Copula GARCH 模型

Modeling returns on large portfolios is a challenging problem as the number of parameters in the covariance matrix grows as the square of the size of the portfolio. Traditional correlation models, for example, the dynamic conditional correlation (DCC)-GARCH model, often ignore the nonlinear dependencies in the tail of the return distribution. In this paper, we aim to develop a framework to model the nonlinear dependencies dynamically, namely the graphical copula GARCH…

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Bootstrap Model Averaging

Bootstrap 模型平均

Model averaging has garnered significant attention in recent years for its ability to combine information from multiple models. A critical challenge in frequentist model averaging is determining the appropriate weight vector. The bootstrap method, well-known for its desirable properties, offers a promising solution. In this article, we propose a bootstrap model averaging approach that selects weights by minimizing a bootstrap-based criterion. Notably, our weight selection…

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Network-Assisted High-Dimensional Factor Model Estimation

网络辅助的高维因子模型估计

This article takes advantage of group-level heterogeneity and network cohesion phenomenon to improve the estimation accuracy of approximate factor models. As large heterogeneous panels become available, a grouped pattern of unobserved heterogeneity in the panel data is highlighted. Clustering of factor loadings provides a solution to model group-level heterogeneity. Moreover, networks are frequently observed in economics and finance, which capture the interconnectivity…

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Random Walk Forecasts of Stationary Processes Have Low Bias

随机游走预测平稳过程的样本平均误差较小

We study the use of a misspecified overdifferenced model to forecast the level of a stationary scalar time series. Let xt be the series, and let bias be the sample average of a series of forecast errors. Then, the bias of forecasts of xt generated by a misspecified overdifferenced ARMA model for Δxt will tend to be smaller in magnitude than the bias of forecasts of xt generated by a correctly specified model for xt. Formally, let P be the number of forecasts. The bias from…

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Determination of the Effective Cointegration Rank in High-Dimensional Time-Series Predictive Regressions

高维时间序列预测回归中有效协整秩的确定

This article proposes a new approach to identifying the effective cointegration rank in high-dimensional unit-root (HDUR) time series from a prediction perspective using reduced-rank regression. For a HDUR process xt∈RN and a stationary series yt∈Rp of interest, our goal is to predict future values of yt using xt and lagged values of yt. The proposed framework consists of a two-step estimation procedure. First, the Principal Component Analysis is used to identify all…

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An Adaptive Residual-Based Test for Factor Structure

因子结构的自适应残差检验

This article addresses the critical issue of testing static approximate factor models against unspecified alternatives by proposing an adaptive residual-based test. Our methodology is versatile, encompassing alternatives such as factor models with nonlinear factor structures, conditional factor models, and factor models with structural breaks. We first establish the asymptotic properties of a so-called fixed bandwidth-based test, showing its asymptotic normality and power…

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Forecast Selection in Unstable Environments

不稳定环境中的预测选择

This paper leverages the time-series properties of forecast loss differences for out-of-sample forecast selection. Our framework predicts the conditional distribution of future loss differences while accommodating for time-contingent unstable forecasting environments. We establish distributional theory to quantify the sampling uncertainty of our predictions, enabling the development of advanced selection rules. Through simulations and an empirical application to inflation…

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The Factor Structure of Disagreement

预期分歧的因子结构

We estimate a Bayesian three-dimensional dynamic factor model on the individual forecasts in the Survey of Professional Forecasters. The factors extract the most important dimensions along which disagreement comoves across variables. We interpret our results through a generic dispersed information model. The two most important factors in the data describe disagreement about aggregate supply and demand, respectively. Up until the Great Moderation, supply disagreement was…

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High Frequency ANOVA that is Robust to Jumps, Microstructure Noise and Asynchronous Observation Times

对跳跃、微观结构噪声与异步观测稳健的高频方差分析

This paper develops the necessary methodology for high frequency ANOVA, focusing on the estimations of idiosyncratic volatility and averaged R-Squared. As a nonlinear and complicated functional of the spot covariance matrix, idiosyncratic volatility estimation poses significant challenges, particularly with jumps, microstructure noise, and asynchronous observation times. Averaged R-Squared, a newly introduced quantity in high frequency econometrics, provides a measure of…

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Double Dynamic Max-Copula Model with Application to Financial Time Series

双动态最大 Copula 模型及其金融时间序列应用

Accurately modeling time-varying dependence structures is essential for financial market analysis, particularly during periods of market stress. Recognizing that traditional copula models often fail to jointly capture dynamic dependence and tail behavior, this article proposes a double dynamic max-copula (DDMC) model that accommodates time variation while effectively characterizing tail dependence. To estimate the model, we introduce a maximum composite profile likelihood…

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Mitigating Process Distortion While Preserving Accounting Relations in Hierarchical Time Series

保持核算关系的层级时间序列过程失真修正

Process distortion, that is, the corruption of time series dynamics, can be present in hierarchical time series subject to aggregation. The presence of seasonal patterns in seasonally adjusted data, known as residual seasonality (RS), is an example of process distortion. In the case of U.S. Gross Domestic Product (GDP) and its sub-aggregates, it is important that there be no RS at monthly or quarterly frequencies, while preserving aggregation relations between the various…

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On Smooth Transition Interval Autoregressive Models

平滑转换区间自回归模型

Interval time series (ITS) analysis has important significance econometric analysis, as it contains information about the range of change and the level or trend of economic processes. More importantly, the rich information of interval data can be used for more accurate quantitative estimation and inference. Considering the possible nonlinear characteristics of ITS data, this article introduces a class of smooth transition interval autoregressive (STIAR) models, which…

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Sequential Monitoring for Changes in Dynamic Semiparametric Risk Models

动态半参数风险模型变化的序贯监测

We propose a sequential monitoring scheme to detect changes in dynamic semiparametric risk models that capture Value-at-Risk (VaR) and Expected Shortfall (ES) jointly. The monitoring scheme is based on a gradient-based detector and a boundary function, and a change is detected when the detector crosses the boundary function. We derive the asymptotic limit of the stopping time of detection under the null hypothesis of no change. Monte Carlo simulations show that the proposed…

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The Efficient Tail Hypothesis: An Extreme Value Perspective on Market Efficiency

有效尾部假说:市场效率的极值视角

In finance, the Efficient Market Hypothesis posits that asset prices reflect all available information in the market. Several empirical investigations show that market efficiency drops when it undergoes extreme events. Many models for multivariate extremes focus on positive dependence, making them unsuitable for studying extremal dependence in financial markets where data often exhibit both positive and negative extremal dependence. To this end, we construct regular…

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Time-Varying Group Unobserved Heterogeneity in Finance

金融研究中的时变分组不可观测异质性

Accounting for time-varying unobserved heterogeneity poses a fundamental challenge for empirical finance research. We show how grouped fixed effects (GFE) models capture such heterogeneity and illustrate their merits over conventional panel data models used in finance applications. We propose a new Hausman-type specification test to select among fixed effects models, and show that it differs from standard Hausman statistics precisely due to the presence of the time-varying…

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Wild Bootstrap Inference with Multiway Clustering and Serially Correlated Time Effects

多维聚类与序列相关时间效应下的野生自助法推断

This article studies wild bootstrap-based inference for regression models with multiway clustering. Our proposed methods are multiway counterparts to the (one-way) wild cluster bootstrap approach introduced by Cameron, Gelbach, and Miller. We establish the validity of our methods for studentized statistics. Theoretical results are provided, accommodating arbitrary serial dependence in the common time effects—an aspect excluded by existing two-way bootstrap-based approaches.…

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A Generalized Poisson-Pseudo Maximum Likelihood Estimator

广义泊松伪极大似然估计量

We examine the Constant Variance to Mean Ratio (CVMR) assumption – a key condition to make PPML an efficient estimator – and propose Generalized Poisson-Pseudo Maximum Likelihood (G-PPML) as a complementary estimator. We estimate the conditional variance of the dependent variable using an iterated GMM, thereby providing a specification test for the CVMR assumption. The proposed G-PPML estimator, which capitalizes on conditional variance estimates, is more efficient than…

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Theory Coherent Shrinkage of Time-Varying Parameters in VARs

时变参数 VAR 中与经济理论一致的收缩

This article introduces a theory coherent shrinkage prior for Time-Varying Parameter VARs (TVP-VARs). The prior centers the time-varying parameters on a path implied a priori by an underlying economic theory, chosen to describe the dynamics of the macroeconomic variables in system. Leveraging information from conventional economic theory using this prior significantly improves inference precision and forecast accuracy compared to the standard TVP-VAR. In an application, I…

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Doubly Robust Uniform Confidence Bands for Group-Time Conditional Average Treatment Effects in Difference-in-Differences

双重稳健的交错双重差分组别—时期条件平均处理效应一致置信带

We consider a panel data analysis to examine the heterogeneity in treatment effects with respect to groups, periods, and a pre-treatment covariate of interest in the staggered difference-in-differences setting of Callaway and Sant’Anna. Under standard identification conditions, a doubly robust estimand conditional on the covariate identifies the group-time conditional average treatment effect given the covariate. Focusing on the case of a continuous covariate, we propose a…

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Quasi-Score Matching Estimation for Spatial Autoregressive Model with Random Weights Matrix and Regressors

随机权重矩阵与解释变量下空间自回归模型的拟得分匹配估计

With the rapid advancements in technology for data collection, the application of the spatial autoregressive (SAR) model has become increasingly prevalent in real-world analysis, particularly when dealing with large datasets. However, the commonly used quasi-maximum likelihood estimation (QMLE) for the SAR model is not computationally scalable to handle the data with a large size. In addition, when establishing the asymptotic properties of the parameter estimators of the SAR…

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Envelope Matrix Autoregressive Models

包络矩阵自回归模型

Matrix-valued data is commonly collected over time in many scientific fields. However, existing methods for handling such data are limited and often suffer from overparametrization. In response, Chen et al. (2021) introduced the matrix autoregressive (MAR) model as an alternative to traditional time series analysis, which relies on vectorization and vector autoregression frameworks. By preserving the original structure of matrices, the MAR model avoids the loss of valuable…

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Extreme Quantile Treatment Effects under Endogeneity

内生性下的极端分位数处理效应

We introduce a novel method for estimating and conducting inference about extreme quantile treatment effects (QTEs) in the presence of endogeneity. Our approach is applicable to a broad range of empirical research designs, including instrumental variables design and regression discontinuity design, among others. By leveraging regular variation and subsampling, the method ensures good performance even in extreme tails, where data may be sparse. Simulation studies confirm the…

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