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GMM 与矩条件:广义矩估计、条件矩限制与经验似然。
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Real-time monitoring for stock return predictability in nonstationary volatility environments

非平稳波动环境下股票收益可预测性的实时监测

Stock return predictability, should it exist, is likely to be episodic in nature. In order to exploit such pockets of predictability it is essential that they are rapidly detected, in real-time, as the nascent predictive regime emerges. This will typically entail the repeated (sequential) application of one-shot end-of-sample predictability statistics, updated as new data become available. Consequently, in addition to dealing with the usual inference problems caused by…

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Measurement error and peer effects in networks

网络中的测量误差与同伴效应

In many practical applications, only noisy proxies for the true regressors are available, which is commonly believed to induce an attenuation bias. In the linear-in-means model, however, estimated peer effects might be inflated, potentially leading to false positives. This paper shows that the asymptotic bias depends on the interplay between individual characteristics and network links and demonstrates how the network structure can facilitate identification without the need…

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Spatio-temporal autoregressions for high dimensional matrix-valued time series

高维矩阵值时间序列的时空自回归模型

Motivated by predicting intraday trading volume curves, we consider two spatio-temporal autoregressive models for matrix time series, in which each column may represent daily trading volume curve of one asset, and each row captures synchronized 5-minute volume intervals acrossmultiple assets. While traditional matrix time series focus mainly on temporal evolution, our approach incorporates both spatial and temporal dynamics, enabling simultaneous analysis of interactions…

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TESTING FOR ENDOGENEITY: A MOMENT-BASED BAYESIAN APPROACH

内生性检验:一种基于矩的贝叶斯方法

A standard assumption in the Bayesian estimation of linear regression models is that the regressors are exogenous in the sense that they are uncorrelated with the model error term. In practice, however, this assumption can be invalid. In this article, using the exponentially tilted empirical likelihood (ETEL) framework, we develop a Bayes factor test for endogeneity that compares a base model that is correctly specified under exogeneity but misspecified under endogeneity…

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Partial Gini Covariance-based Robust Inference for High-dimensional Linear Models with Heavy-tailed Errors

基于偏 Gini 协方差的重尾误差高维线性模型稳健推断

This paper introduces a novel robust high-dimensional inference framework based on partial Gini covariance. We specifically address the practically important problem of quantifying how changes in features affect the conditional mean in high-dimensional linear regression when the random noises are heavy-tailed and possibly asymmetric. Conventional high-dimensional regression inference methods suffer from inaccurate type I errors and reduced power in heavy-tailed contexts.…

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Missing Endogenous Variables in Conditional Moment Restriction Models

条件矩限制模型中的内生变量缺失

We estimate finite-dimensional parameters in conditional moment restriction (CMR) models when at least one of the endogenous variables (outcomes and/or explanatory variables) in the model is missing for some individuals in the sample. We demonstrate that efficiency gains in estimation occur if and only if there is at least one endogenous variable—included in or excluded from the CMR model—that is nonmissing (observed for all individuals in the sample), which we show…

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A Simple Measure of Robustness for External Validity under Covariate Shifts

协变量漂移下外部有效性的简单稳健性度量

This paper studies the robustness of estimated policy effects to changes in the distribution of covariates, a key determinant of the external validity of (quasi)experimental results. I propose a novel robustness metric δ ∗ which measures the smallest covariate shift needed to invalidate an empirical claim about the policy effect (e.g., AT E > 0). I estimate δ ∗ via de-biased GMM, achieving a parametric rate of convergence while accommodating machine-learning estimators of…

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Penalized empirical likelihood over decentralized networks

去中心化网络上的惩罚经验似然

Abstract Empirical likelihood encounters serious computational challenges when applied to massive datasets or multiple data sources distributed across decentralized networks. This paper proposes a constrained empirical likelihood framework for decentralized networks, utilizing a novel penalization technique to obtain a penalized empirical log-likelihood. The resulting empirical log-likelihood ratio statistic is proved to be asymptotically standard chi-squared even for a…

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Coordinated testing for identification failure and correct model specification

识别失败与模型设定正确性的协调检验

We develop a specification test for GMM and Minimum Distance (MD) inference that is: (i) robust to weak identification; (ii) easy to implement and broadly applicable; and (iii) has meaningful power. Our specification test is based on a conditional inference approach: information about the existence of strongly identified directions in the parameter space is exploited to define a data-dependent critical value, which, in turn, increases the power of the resulting specification…

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UNIFIED INFERENCE ON MOMENT RESTRICTIONS WITH NUISANCE PARAMETERS

存在干扰参数时矩约束的统一推断

This article proposes a simple unified inference approach on moment restrictions in the presence of nuisance parameters. The proposed test is constructed based on a new characterization that avoids the estimation of nuisance parameters and can be broadly applied across diverse settings. Under suitable conditions, the test is shown to be asymptotically size controlled and consistent for both independent and dependent samples. Monte Carlo simulations show that the test…

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Heterogeneous predictability on mutual fund alphas: A sparse clustering GMM approach

共同基金 alpha 的异质可预测性:稀疏聚类 GMM 方法

Mutual fund managers' skills, measured by risk-adjusted alphas, are predictable using fund characteristics identified by machine learning (e.g., Kaniel et al., 2023, JFE; DeMiguel et al., 2023, JFE). However, alpha's predictive power varies across funds and periods, with most funds exhibiting negligible alphas. To model this heterogeneous predictability, this paper introduces Sparse Clustering GMM, a nonparametric approach for uncovering latent fund groups. SCGMM clusters…

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Double/Debiased Machine Learning for Treatment Effects in Dynamic Panels

动态面板处理效应的双重/去偏机器学习

We introduce a novel framework for causal inference in dynamic panel data that extends the cross-sectional Double/Debiased Machine Learning (DML) approach. The method rests on a partially linear dynamic panel model with two-way fixed effects for potential outcomes and readily accommodates binary, multi-valued, or continuous treatments. To translate potential outcome models into an estimable form, we introduce dynamic conditional independence assumptions. By integrating…

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Threshold Regression with Errors-in-Variables

含变量测量误差的门槛回归

We propose a novel generalized method of moments (GMM) estimator for linear threshold regression models with a mismeasured regressor and an exogenous threshold variable. The estimator addresses a key challenge in empirical applications: identifying model parameters in the absence of valid external instruments for the mismeasured regressor. We establish the consistency and asymptotic normality of the proposed estimator and develop test statistics for detecting threshold…

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Encompassing and Progression Testing in High-Dimensions

高维环境中的涵盖检验与递进检验

This paper introduces the Subseries-based Cauchy Combination Test (SCT), a novel procedure for testing encompassing relationships or model validity using identification conditions formulated as multiple moment restrictions. SCT applies to weakly or short-range-dependent data and eliminates the need to estimate high-dimensional covariance matrices. Unlike Wald- or J-type tests, it remains reliable in both low- and high-dimensional settings. The test is asymptotically unbiased…

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On the efficiency of highly stratified experiments

高度分层实验的估计效率

This paper studies the use of highly stratified designs for the efficient estimation of a large class of treatment effect parameters that arise in the analysis of experiments. By a “highly stratified” design, we mean experiments in which units are divided into blocks of a fixed size and a proportion within each block is assigned to a binary treatment uniformly at random. The class of parameters considered are those that can be expressed as the solution to a set of moment…

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SEMIPARAMETRIC ESTIMATION OF QUANTILE REGRESSION WITH BINARY QUANTILE SELECTION

具有二元分位数选择的分位数回归半参数估计

This article proposes a novel method for estimating quantile regression models that account for sample selection. Unlike the approach by Arellano and Bonhomme (2017, Econometrica 85(1), 1–28; hereafter referred to as AB17), which employs a parametric selection equation, our method utilizes a standard binary quantile regression model to handle the selection issue, thereby accommodating general heterogeneity in both the selection and outcome equations. We adopt a…

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Inference on strongly identified functionals of weakly identified functions

弱识别函数的强识别泛函推断

Abstract In a variety of applications, including nonparametric instrumental variable (NPIV) analysis, proximal causal inference under unmeasured confounding, and analysis of missing-not-at-random data with shadow variables, we are interested in inference on a continuous linear functional (e.g. average causal effects) of nuisance functions (e.g. NPIV regression) defined by conditional moment restrictions. These nuisance functions are often weakly identified, meaning the…

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Partial Effects in Time-Varying Linear Transformation Panel Models with Endogeneity

含内生性的时变线性变换面板模型中的偏效应

This article develops a new estimator for an average partial effect in nonlinear panel models, where outcomes are time-varying monotonic transformations of latent variables that include fixed effects and endogenous regressors. The partial effect can be time-varying and the counterfactual shift is scale invariant—key advantages over the linear model. We exploit a conditional moment restriction and address the ill-posed nature of recovering the transformation functions using…

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Time domain estimation of non-fundamental ARMA models in the presence of heteroskedasticity of unknown form

未知形式异方差下非基本 ARMA 模型的时域估计

This paper considers time domain estimation of possibly non-fundamental (that is, non-causal and/or non-invertible) non-Gaussian linear ARMA models with martingale difference innovations that may display conditional heteroskedasticity of unknown form. Instead of explicitly parametrizing the underlying volatility process (the higher order dependence) and employing maximum likelihood procedures, we propose a time domain minimum distance objective function based on innovations…

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Concentrated MCMC estimation

集中化 MCMC 估计

This paper studies a concentrated Markov Chain Monte Carlo (MCMC) estimation method that offers significant computational advantages while delivering valid inference for parameters of interest. By reducing the dimension of parameters to be sampled, this method substantially decreases computational time and memory usage relative to both traditional and some state-of-the-art Bayesian algorithms. Its applicability extends to correctly specified or misspecified likelihood…

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Robust Unsupervised Multi-Task and Transfer Learning on Gaussian Mixture Models

高斯混合模型的稳健无监督多任务与迁移学习

Unsupervised learning has been widely used in many real-world applications. One of the simplest and most important unsupervised learning models is the Gaussian mixture model (GMM). In this work, we study the multi-task learning problem on GMMs, which aims to leverage potentially similar GMM parameter structures among tasks to obtain improved learning performance compared to single-task learning. We propose a multi-task GMM learning procedure based on the EM algorithm that…

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STABILITY OF LINEAR MODELS UNDER TEMPORAL AGGREGATION

时间聚合下线性模型的稳定性

Linear factor models dominate the field of empirical asset pricing and are largely considered a successful framework even though testing for model adequacy is uncommon in empirical research. This article develops a probabilistic argument under the assumption that return data are generated by a multivariate Lévy process and shows that linear factor models are asymptotically adequate as the return frequency declines. Rate-of-convergence results are provided assuming finite or…

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Testing Independence and Conditional Independence in High Dimensions via Coordinatewise Gaussianization

通过逐坐标高斯化检验高维独立性与条件独立性

We propose new statistical tests, in high-dimensional settings, for testing the independence of two random vectors and their conditional independence given a third random vector. The key idea is simple, i.e., we first transform each component variable to the standard normal via its marginal empirical distribution, and we then test for independence and conditional independence of the transformed random vectors using appropriate L∞-type test statistics. While we are testing…

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Test of independence using generalized distance correlation

利用广义距离相关检验独立性

We study the fundamental statistical inference concerning the testing of independence between two random vectors. Existing asymptotic theories for test statistics based on distance covariance can only apply to either low-dimensional or high-dimensional settings and require stringent distributional assumptions. In this work we develop a new unified distributional theory of the sample generalized distance covariance that works for random vectors of arbitrary dimensions under…

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