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Predictive quantile regressions with persistent and heteroskedastic predictors: A powerful 2SLS testing approach 具有持久和异方差预测因子的预测性分位数回归:一种强大的2SLS测试方法
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-04-17 DOI: 10.1016/j.jeconom.2025.106002
Matei Demetrescu , Paulo M.M. Rodrigues , A.M. Robert Taylor
{"title":"Predictive quantile regressions with persistent and heteroskedastic predictors: A powerful 2SLS testing approach","authors":"Matei Demetrescu ,&nbsp;Paulo M.M. Rodrigues ,&nbsp;A.M. Robert Taylor","doi":"10.1016/j.jeconom.2025.106002","DOIUrl":"10.1016/j.jeconom.2025.106002","url":null,"abstract":"<div><div>We develop new tests for predictability at a given quantile, based on the Lagrange Multiplier [LM] principle, in the context of quantile regression [QR] models which allow for persistent and endogenous predictors driven by heteroskedastic errors. Of the extant predictive QR tests in the literature, only the moving blocks bootstrap implementation, due to Fan and Lee (2019) , of the Wald-type test of Lee (2016) can allow for conditionally heteroskedastic errors in the context of a QR model with persistent predictors. In common with all other tests in the literature these tests cannot, however, allow for unconditionally heteroskedastic behaviour in the errors. The LM-based approach we adopt in this paper is obtained from a simple auxiliary linear test regression which facilitates inference based on established instrumental variable methods. We demonstrate that, as a result, the tests we develop, based on either conventional or heteroskedasticity-consistent standard errors in the auxiliary regression, are robust under the null hypothesis of no predictability to conditional heteroskedasticity and to unconditional heteroskedasticity in the errors driving the predictors, with no need for bootstrap implementation. We also propose tests for joint predictability across a set of multiple distinct quantiles. Simulation results for both conditionally and unconditionally heteroskedastic errors highlight the superior finite sample properties of our proposed LM tests over the tests of Lee (2016) and Fan and Lee (2019) and the recent variable addition tests of Cai et al. (2023). An empirical application to the equity premium for the S&amp;P 500 highlights the practical usefulness of our proposed tests, uncovering significant evidence of predictability in the left and right tails of the returns distribution for a number of predictors containing information on market or firm risk.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"249 ","pages":"Article 106002"},"PeriodicalIF":9.9,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143839606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inference for deprivation profiles in a binary setting 二元环境下的贫困状况推断
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-04-10 DOI: 10.1016/j.jeconom.2025.106000
Maria Grazia Pittau , Pier Luigi Conti , Roberto Zelli
{"title":"Inference for deprivation profiles in a binary setting","authors":"Maria Grazia Pittau ,&nbsp;Pier Luigi Conti ,&nbsp;Roberto Zelli","doi":"10.1016/j.jeconom.2025.106000","DOIUrl":"10.1016/j.jeconom.2025.106000","url":null,"abstract":"<div><div>The paper addresses the issue of comparing deprivation distributions when the severity of deprivation is measured by a sum of (weighted) binary variables. To accomplish this task, it provides a graphical tool, the Three I’s of Deprivation (TID) curve, which summarises the incidence, intensity and inequality aspects of deprivation in a society and is the natural counterpart to the TIP curve widely used in income poverty analysis. Uncertainty around the estimated deprivation curves is assessed by simultaneous confidence bands. A dominance hypothesis test is presented to facilitate the comparison and ordering of TID curves across groups and over time. A rank-dependent multi-deprivation index consistent with the TID ordering is calculated and confidence intervals are developed. As a substantive illustration, the evolution of material and social deprivation across European countries over the period of the pandemic outbreak is analysed.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"249 ","pages":"Article 106000"},"PeriodicalIF":9.9,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143816507","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotic theory for two-way clustering 双向聚类的渐近理论
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-04-10 DOI: 10.1016/j.jeconom.2025.106001
Luther Yap
{"title":"Asymptotic theory for two-way clustering","authors":"Luther Yap","doi":"10.1016/j.jeconom.2025.106001","DOIUrl":"10.1016/j.jeconom.2025.106001","url":null,"abstract":"<div><div>This paper proves a new central limit theorem for a sample that exhibits two-way dependence and heterogeneity across clusters. Statistical inference for situations with both two-way dependence and cluster heterogeneity has thus far been an open issue. The existing theory for two-way clustering inference requires identical distributions across clusters (implied by the so-called separate exchangeability assumption). Yet no such homogeneity requirement is needed in the existing theory for one-way clustering. The new result therefore theoretically justifies the view that two-way clustering is a more robust version of one-way clustering, consistent with applied practice. In an application to linear regression, I show that a standard plug-in variance estimator is valid for inference.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"249 ","pages":"Article 106001"},"PeriodicalIF":9.9,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143816508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Regret analysis in threshold policy design 阈值策略设计中的后悔分析
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-04-07 DOI: 10.1016/j.jeconom.2025.105998
Federico Crippa
{"title":"Regret analysis in threshold policy design","authors":"Federico Crippa","doi":"10.1016/j.jeconom.2025.105998","DOIUrl":"10.1016/j.jeconom.2025.105998","url":null,"abstract":"<div><div>Threshold policies are decision rules that assign treatments based on whether an observable characteristic exceeds a certain threshold. They are widespread across multiple domains, including welfare programs, taxation, and clinical medicine. This paper examines the problem of designing threshold policies using experimental data, when the goal is to maximize the population welfare. First, I characterize the regret – a measure of policy optimality – of the Empirical Welfare Maximizer (EWM) policy, popular in the literature. Next, I introduce the Smoothed Welfare Maximizer (SWM) policy, which improves the EWM’s regret convergence rate under an additional smoothness condition. The two policies are compared by studying how differently their regrets depend on the population distribution, and investigating their finite sample performances through Monte Carlo simulations. In many contexts, the SWM policy guarantees larger welfare than the EWM. An empirical illustration demonstrates how the treatment recommendations of the two policies may differ in practice.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"249 ","pages":"Article 105998"},"PeriodicalIF":9.9,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143785345","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantile prediction with factor-augmented regression: Structural instability and model uncertainty 因子增强回归的分位数预测:结构不稳定性和模型不确定性
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-25 DOI: 10.1016/j.jeconom.2025.105999
Yundong Tu , Siwei Wang
{"title":"Quantile prediction with factor-augmented regression: Structural instability and model uncertainty","authors":"Yundong Tu ,&nbsp;Siwei Wang","doi":"10.1016/j.jeconom.2025.105999","DOIUrl":"10.1016/j.jeconom.2025.105999","url":null,"abstract":"<div><div>The quantile regression is an effective tool in modeling data with heterogeneous conditional distribution. This paper considers the time-varying coefficient quantile predictive regression with factor-augmented predictors, to capture smooth structural changes and incorporate high-dimensional data information in prediction simultaneously. Uniform consistency of the local linear quantile coefficient estimators is established under misspecification. To further improve the forecast accuracy, a novel time-varying model averaging based on local forward-validation is developed. The averaging estimator is shown to be asymptotically optimal in the sense of minimizing out-of-sample forecast risk function. Furthermore, the weight selection consistency and the asymptotic distribution of the averaging coefficient estimator are established. Numerical results from simulations and a real data application to forecasting U.S. inflation demonstrate the nice performance of the averaging estimators.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"249 ","pages":"Article 105999"},"PeriodicalIF":9.9,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143696011","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantile Granger causality in the presence of instability 存在不稳定性的量子格兰杰因果关系
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-23 DOI: 10.1016/j.jeconom.2025.105992
Alexander Mayer , Dominik Wied , Victor Troster
{"title":"Quantile Granger causality in the presence of instability","authors":"Alexander Mayer ,&nbsp;Dominik Wied ,&nbsp;Victor Troster","doi":"10.1016/j.jeconom.2025.105992","DOIUrl":"10.1016/j.jeconom.2025.105992","url":null,"abstract":"<div><div>We propose a new framework for assessing Granger causality in quantiles in unstable environments, for a fixed quantile or over a continuum of quantile levels. Our proposed test statistics are consistent against fixed alternatives, they have nontrivial power against local alternatives, and they are pivotal in certain important special cases. In addition, we show the validity of a bootstrap procedure when asymptotic distributions depend on nuisance parameters. Monte Carlo simulations reveal that the proposed test statistics have correct empirical size and high power, even in absence of structural breaks. Moreover, a procedure providing additional insight into the timing of Granger causal regimes based on our new tests is proposed. Finally, an empirical application in energy economics highlights the applicability of our method as the new tests provide stronger evidence of Granger causality.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"249 ","pages":"Article 105992"},"PeriodicalIF":9.9,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143687646","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Model averaging prediction for possibly nonstationary autoregressions 可能非平稳自回归的模型平均预测
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-22 DOI: 10.1016/j.jeconom.2025.105994
Tzu-Chi Lin , Chu-An Liu
{"title":"Model averaging prediction for possibly nonstationary autoregressions","authors":"Tzu-Chi Lin ,&nbsp;Chu-An Liu","doi":"10.1016/j.jeconom.2025.105994","DOIUrl":"10.1016/j.jeconom.2025.105994","url":null,"abstract":"<div><div>As an alternative to model selection (MS), this paper considers model averaging (MA) for integrated autoregressive processes of infinite order (AR(<span><math><mi>∞</mi></math></span>)). We derive a uniformly asymptotic expression for the mean squared prediction error (MSPE) of the averaging prediction with fixed weights and then propose a Mallows-type criterion to select the data-driven weights that minimize the MSPE asymptotically. We show that the proposed MA estimator and its variants, Shibata and Akaike MA estimators, are asymptotically optimal in the sense of achieving the lowest possible MSPE. We further demonstrate that MA can provide significant MSPE reduction over MS in the algebraic-decay case. These theoretical findings are extended to integrated AR(<span><math><mi>∞</mi></math></span>) models with deterministic time trends and are supported by Monte Carlo simulations and real data analysis.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"249 ","pages":"Article 105994"},"PeriodicalIF":9.9,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143687647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Supervised factor modeling for high-dimensional linear time series 高维线性时间序列的监督因子建模
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-19 DOI: 10.1016/j.jeconom.2025.105995
Feiqing Huang , Kexin Lu , Yao Zheng , Guodong Li
{"title":"Supervised factor modeling for high-dimensional linear time series","authors":"Feiqing Huang ,&nbsp;Kexin Lu ,&nbsp;Yao Zheng ,&nbsp;Guodong Li","doi":"10.1016/j.jeconom.2025.105995","DOIUrl":"10.1016/j.jeconom.2025.105995","url":null,"abstract":"<div><div>Motivated by Tucker tensor decomposition, this paper imposes low-rank structures to the column and row spaces of coefficient matrices in a multivariate infinite-order vector autoregression (VAR), which leads to a supervised factor model with two factor modelings being conducted to responses and predictors simultaneously. Interestingly, the stationarity condition implies an intrinsic weak group sparsity mechanism of infinite-order VAR, and hence a rank-constrained group Lasso estimation is considered for high-dimensional linear time series. Its non-asymptotic properties are discussed by balancing the estimation, approximation and truncation errors. Moreover, an alternating gradient descent algorithm with hard-thresholding is designed to search for high-dimensional estimates, and its theoretical justifications, including statistical and convergence analysis, are also provided. Theoretical and computational properties of the proposed methodology are verified by simulation experiments, and the advantages over existing methods are demonstrated by analyzing US quarterly macroeconomic variables.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"249 ","pages":"Article 105995"},"PeriodicalIF":9.9,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143687645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Huber Principal Component Analysis for large-dimensional factor models 大维度因子模型的Huber主成分分析
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-18 DOI: 10.1016/j.jeconom.2025.105993
Yong He , Lingxiao Li , Dong Liu , Wen-Xin Zhou
{"title":"Huber Principal Component Analysis for large-dimensional factor models","authors":"Yong He ,&nbsp;Lingxiao Li ,&nbsp;Dong Liu ,&nbsp;Wen-Xin Zhou","doi":"10.1016/j.jeconom.2025.105993","DOIUrl":"10.1016/j.jeconom.2025.105993","url":null,"abstract":"<div><div>Factor models have been widely used in economics and finance. However, the heavy-tailed nature of macroeconomic and financial data is often neglected in statistical analysis. To address this issue, we propose a robust approach to estimate factor loadings and scores by minimizing the Huber loss function, which is motivated by the equivalence between conventional Principal Component Analysis (PCA) and the constrained least squares method in the factor model. We provide two algorithms that use different penalty forms. The first algorithm involves an element-wise-type Huber loss minimization, solved by an iterative Huber regression algorithm. The second algorithm, which we refer to as Huber PCA, minimizes the <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-norm-type Huber loss and performs PCA on the weighted sample covariance matrix. We examine the theoretical minimizer of the element-wise Huber loss function and demonstrate that it has the same convergence rate as conventional PCA when the idiosyncratic errors have bounded second moments. We also derive their asymptotic distributions under mild conditions. Moreover, we suggest a consistent model selection criterion that relies on rank minimization to estimate the number of factors robustly. We showcase the benefits of the proposed two algorithms through extensive numerical experiments and a real macroeconomic data example. An <span>R</span> package named “<span>HDRFA</span>” <span><span><sup>1</sup></span></span> has been developed to conduct the proposed robust factor analysis.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"249 ","pages":"Article 105993"},"PeriodicalIF":9.9,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143642831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Limit theory and inference in non-cointegrated functional coefficient regression 非协整泛函系数回归的极限理论与推论
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-17 DOI: 10.1016/j.jeconom.2025.105996
Ying Wang , Peter C.B. Phillips , Yundong Tu
{"title":"Limit theory and inference in non-cointegrated functional coefficient regression","authors":"Ying Wang ,&nbsp;Peter C.B. Phillips ,&nbsp;Yundong Tu","doi":"10.1016/j.jeconom.2025.105996","DOIUrl":"10.1016/j.jeconom.2025.105996","url":null,"abstract":"<div><div>Functional coefficient (FC) cointegrating regressions offer empirical investigators flexibility in modeling economic relationships by introducing covariates that influence the direction and intensity of comovement among nonstationary time series. FC regression models are also useful when formal cointegration is absent, in the sense that the equation errors may themselves be nonstationary, but where the nonstationary series display well-defined FC linkages that can be meaningfully interpreted as correlation measures involving the covariates. The present paper proposes new nonparametric estimators for such FC regression models where the nonstationary series display linkages that enable consistent estimation of the correlation measures between them. Specifically, we develop <span><math><msqrt><mrow><mi>n</mi></mrow></msqrt></math></span>-consistent estimators for the functional coefficient and establish their asymptotic distributions, which involve mixed normal limits that facilitate inference. Two novel features that appear in the limit theory are (i) the need for non-diagonal matrix normalization due to the presence of stationary and nonstationary components in the regression; and (ii) random bias elements that appear in the asymptotic distribution of the kernel estimators, again resulting from the nonstationary regression components. Numerical studies reveal that the proposed estimators achieve significant efficiency improvements compared to the estimators suggested in earlier work by Sun et al. (2011). Easily implementable specification tests with standard chi-square asymptotics are suggested to check for constancy of the functional coefficient. These tests are shown to have faster divergence rate under local alternatives and enjoy superior performance in simulations than tests proposed in Gan et al. (2014). An empirical application based on the quantity theory of money is included, illustrating the practical use of correlated but non-cointegrated regression relations.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"249 ","pages":"Article 105996"},"PeriodicalIF":9.9,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143642830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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