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Estimation and uniform inference in sparse high-dimensional additive models
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-05 DOI: 10.1016/j.jeconom.2025.105973
Philipp Bach , Sven Klaassen , Jannis Kueck , Martin Spindler
{"title":"Estimation and uniform inference in sparse high-dimensional additive models","authors":"Philipp Bach ,&nbsp;Sven Klaassen ,&nbsp;Jannis Kueck ,&nbsp;Martin Spindler","doi":"10.1016/j.jeconom.2025.105973","DOIUrl":"10.1016/j.jeconom.2025.105973","url":null,"abstract":"<div><div>We develop a novel method to construct uniformly valid confidence bands for a nonparametric component <span><math><msub><mrow><mi>f</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> in the sparse additive model <span><math><mrow><mi>Y</mi><mo>=</mo><msub><mrow><mi>f</mi></mrow><mrow><mn>1</mn></mrow></msub><mrow><mo>(</mo><msub><mrow><mi>X</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>)</mo></mrow><mo>+</mo><mo>…</mo><mo>+</mo><msub><mrow><mi>f</mi></mrow><mrow><mi>p</mi></mrow></msub><mrow><mo>(</mo><msub><mrow><mi>X</mi></mrow><mrow><mi>p</mi></mrow></msub><mo>)</mo></mrow><mo>+</mo><mi>ɛ</mi></mrow></math></span> in a high-dimensional setting. Our method integrates sieve estimation into a high-dimensional Z-estimation framework, facilitating the construction of uniformly valid confidence bands for the target component <span><math><msub><mrow><mi>f</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>. To form these confidence bands, we employ a multiplier bootstrap procedure. Additionally, we provide rates for the uniform lasso estimation in high dimensions, which may be of independent interest. Through simulation studies, we demonstrate that our proposed method delivers reliable results in terms of estimation and coverage, even in small samples.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"249 ","pages":"Article 105973"},"PeriodicalIF":9.9,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143551236","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
Bootstrap based asymptotic refinements for high-dimensional nonlinear models
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-03 DOI: 10.1016/j.jeconom.2025.105977
Joel L. Horowitz , Ahnaf Rafi
{"title":"Bootstrap based asymptotic refinements for high-dimensional nonlinear models","authors":"Joel L. Horowitz ,&nbsp;Ahnaf Rafi","doi":"10.1016/j.jeconom.2025.105977","DOIUrl":"10.1016/j.jeconom.2025.105977","url":null,"abstract":"<div><div>We consider penalized extremum estimation of a high-dimensional, possibly nonlinear model that is sparse in the sense that most of its parameters are zero but some are not. We use the SCAD penalty function, which provides model selection consistent and oracle efficient estimates under suitable conditions. However, asymptotic approximations based on the oracle model can be inaccurate with the sample sizes found in many applications. This paper gives conditions under which the bootstrap, based on estimates obtained through SCAD penalization with thresholding, provides asymptotic refinements of size <span><math><mrow><mi>O</mi><mo>(</mo><msup><mrow><mi>n</mi></mrow><mrow><mo>−</mo><mn>2</mn></mrow></msup><mo>)</mo></mrow></math></span> for the error in the rejection (coverage) probability of a symmetric hypothesis test (confidence interval) and <span><math><mrow><mi>O</mi><mo>(</mo><msup><mrow><mi>n</mi></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup><mo>)</mo></mrow></math></span> for the error in the rejection (coverage) probability of a one-sided or equal tailed test (confidence interval). The results of Monte Carlo experiments show that the bootstrap can provide large reductions in errors in rejection and coverage probabilities. The bootstrap is consistent, though it does not necessarily provide asymptotic refinements, if some parameters are close but not equal to zero. Random-coefficients logit and probit models and nonlinear moment models are examples of models to which the procedure applies.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"249 ","pages":"Article 105977"},"PeriodicalIF":9.9,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143551233","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
Score-type tests for normal mixtures 正态混合物的分数型检验
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-01 DOI: 10.1016/j.jeconom.2024.105717
Dante Amengual , Xinyue Bei , Marine Carrasco , Enrique Sentana
{"title":"Score-type tests for normal mixtures","authors":"Dante Amengual ,&nbsp;Xinyue Bei ,&nbsp;Marine Carrasco ,&nbsp;Enrique Sentana","doi":"10.1016/j.jeconom.2024.105717","DOIUrl":"10.1016/j.jeconom.2024.105717","url":null,"abstract":"<div><div>Testing normality against discrete normal mixtures is complex because some parameters turn increasingly underidentified along alternative ways of approaching the null, others are inequality constrained, and several higher-order derivatives become identically 0. These problems make the maximum of the alternative model log-likelihood function numerically unreliable. We propose score-type tests asymptotically equivalent to the likelihood ratio as the largest of two simple intuitive statistics that only require estimation under the null. One novelty of our approach is that we treat symmetrically both ways of writing the null hypothesis without excluding any region of the parameter space. We derive the asymptotic distribution of our tests under the null and sequences of local alternatives. We also show that their asymptotic distribution is the same whether applied to observations or standardized residuals from heteroskedastic regression models. Finally, we study their power in simulations and apply them to the residuals of Mincer earnings functions.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"248 ","pages":"Article 105717"},"PeriodicalIF":9.9,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140154183","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
The chained difference-in-differences
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-01 DOI: 10.1016/j.jeconom.2024.105783
Christophe Bellégo , David Benatia , Vincent Dortet-Bernadet
{"title":"The chained difference-in-differences","authors":"Christophe Bellégo ,&nbsp;David Benatia ,&nbsp;Vincent Dortet-Bernadet","doi":"10.1016/j.jeconom.2024.105783","DOIUrl":"10.1016/j.jeconom.2024.105783","url":null,"abstract":"<div><div>This paper studies the identification, estimation, and inference of long-term (binary) treatment effect parameters when balanced panel data is not available, or consists of only a subset of the available data. We develop a new estimator: the chained difference-in-differences, which leverages the overlapping structure of many unbalanced panel data sets. This approach consists in aggregating a collection of short-term treatment effects estimated on multiple incomplete panels. Our estimator accommodates (1) multiple time periods, (2) variation in treatment timing, (3) treatment effect heterogeneity, (4) general missing data patterns, and (5) sample selection on observables. We establish the asymptotic properties of the proposed estimator and discuss identification and efficiency gains in comparison to existing methods. Finally, we illustrate its relevance through (i) numerical simulations, and (ii) an application about the effects of an innovation policy in France.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"248 ","pages":"Article 105783"},"PeriodicalIF":9.9,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526861","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
The term structure of macroeconomic risks at the effective lower bound 宏观经济风险的期限结构处于有效下限
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-01 DOI: 10.1016/j.jeconom.2023.01.005
Guillaume Roussellet
{"title":"The term structure of macroeconomic risks at the effective lower bound","authors":"Guillaume Roussellet","doi":"10.1016/j.jeconom.2023.01.005","DOIUrl":"10.1016/j.jeconom.2023.01.005","url":null,"abstract":"<div><div>This paper proposes a new macro-finance model that solves the tension between tractability, flexibility in macroeconomic<span><span><span> dynamics, and consistency of the term structures of treasury yields with the effective lower bound (ELB). I use the term structures of U.S. nominal and real treasury yields from 1990 to explore the interdependence between </span>inflation expectations, volatility, and </span>monetary policy<span> at the ELB. The estimation reveals that real yields stay elevated during the ELB due to large premia and deflation fears, produced by a persistent shift in inflation<span> dynamics, with low average inflation and heightened inflation volatility.</span></span></span></div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"248 ","pages":"Article 105383"},"PeriodicalIF":9.9,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45139733","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
Regularizing stock return covariance matrices via multiple testing of correlations 通过相关性多重测试正则化股票收益协方差矩阵
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-01 DOI: 10.1016/j.jeconom.2024.105753
Richard Luger
{"title":"Regularizing stock return covariance matrices via multiple testing of correlations","authors":"Richard Luger","doi":"10.1016/j.jeconom.2024.105753","DOIUrl":"10.1016/j.jeconom.2024.105753","url":null,"abstract":"<div><div>This paper develops a large-scale inference approach for the regularization of stock return covariance matrices. The framework allows for the presence of heavy tails and multivariate GARCH-type effects of unknown form among the stock returns. The approach involves simultaneous testing of all pairwise correlations, followed by setting non-statistically significant elements to zero. This adaptive thresholding is achieved through sign-based Monte Carlo resampling within multiple testing procedures, controlling either the traditional familywise error rate, a generalized familywise error rate, or the false discovery proportion. Subsequent shrinkage ensures that the final covariance matrix estimate is positive definite and well-conditioned while preserving the achieved sparsity. Compared to alternative estimators, this new regularization method demonstrates strong performance in simulation experiments and real portfolio optimization.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"248 ","pages":"Article 105753"},"PeriodicalIF":9.9,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141056593","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
Identification, inference and risk
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-01 DOI: 10.1016/j.jeconom.2024.105938
Bertille Antoine, Patrick Gagliardini, René Garcia, Enrique Sentana
{"title":"Identification, inference and risk","authors":"Bertille Antoine,&nbsp;Patrick Gagliardini,&nbsp;René Garcia,&nbsp;Enrique Sentana","doi":"10.1016/j.jeconom.2024.105938","DOIUrl":"10.1016/j.jeconom.2024.105938","url":null,"abstract":"","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"248 ","pages":"Article 105938"},"PeriodicalIF":9.9,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526830","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
Simulation-based estimation with many auxiliary statistics applied to long-run dynamic analysis 应用于长期动态分析的基于多种辅助统计的模拟估算
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-01 DOI: 10.1016/j.jeconom.2024.105814
Bertille Antoine , Wenqian Sun
{"title":"Simulation-based estimation with many auxiliary statistics applied to long-run dynamic analysis","authors":"Bertille Antoine ,&nbsp;Wenqian Sun","doi":"10.1016/j.jeconom.2024.105814","DOIUrl":"10.1016/j.jeconom.2024.105814","url":null,"abstract":"<div><div>The existing asymptotic theory for estimators obtained by simulated minimum distance does not cover situations in which the number of components of the auxiliary statistics (or number of matched “moments”) is large — typically larger than the sample size. We establish the consistency of the simulated minimum distance estimator in this situation and derive its asymptotic distribution.</div><div>Our estimator is easy to implement and allows us to exploit all the informational content of a large number of auxiliary statistics without having to, (i) know these functions explicitly, or (ii) choose <em>a priori</em> which functions are the most informative. As a result, we are able to exploit, among other things, long-run information. We illustrate the implementation of the proposed method through Monte-Carlo simulation experiments based on small- and medium-scale New Keynesian models. These examples highlight how to conveniently exploit valuable information from matching a large number of impulse responses including at long-run horizons.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"248 ","pages":"Article 105814"},"PeriodicalIF":9.9,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141845397","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
When uncertainty and volatility are disconnected: Implications for asset pricing and portfolio performance 当不确定性和波动性脱节时：对资产定价和投资组合绩效的影响
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-01 DOI: 10.1016/j.jeconom.2023.105654
Yacine Aït-Sahalia , Felix Matthys , Emilio Osambela , Ronnie Sircar
{"title":"When uncertainty and volatility are disconnected: Implications for asset pricing and portfolio performance","authors":"Yacine Aït-Sahalia ,&nbsp;Felix Matthys ,&nbsp;Emilio Osambela ,&nbsp;Ronnie Sircar","doi":"10.1016/j.jeconom.2023.105654","DOIUrl":"10.1016/j.jeconom.2023.105654","url":null,"abstract":"<div><div>We analyze an environment where the uncertainty in the equity market return and its volatility are both stochastic and may be potentially disconnected. We solve a representative investor’s optimal asset allocation and derive the resulting conditional equity premium and risk-free rate in equilibrium. Our empirical analysis shows that the equity premium appears to be earned for facing uncertainty, especially high uncertainty that is disconnected from lower volatility, rather than for facing volatility as traditionally assumed. Incorporating the possibility of a disconnect between volatility and uncertainty significantly improves portfolio performance, over and above the performance obtained by conditioning on volatility only.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"248 ","pages":"Article 105654"},"PeriodicalIF":9.9,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139951483","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
Reprint of: Finite underidentification
IF 9.9 3区 经济学
Journal of Econometrics Pub Date : 2025-03-01 DOI: 10.1016/j.jeconom.2025.105947
Enrique Sentana
{"title":"Reprint of: Finite underidentification","authors":"Enrique Sentana","doi":"10.1016/j.jeconom.2025.105947","DOIUrl":"10.1016/j.jeconom.2025.105947","url":null,"abstract":"<div><div>I adapt the Generalised Method of Moments to deal with nonlinear models in which a finite number of isolated parameter values satisfy the moment conditions. I also study the closely related class of first-order underidentified models, whose expected Jacobian is rank deficient but not necessarily zero. In both cases, my proposed procedures exploit the underidentification structure to yield parameter estimators and underidentification tests within a standard asymptotically normal GMM framework. I study nonlinear models with and without separation of data and parameters. I also illustrate my proposed inference procedures with applications to production function estimation and dynamic panel data models.</div></div>","PeriodicalId":15629,"journal":{"name":"Journal of Econometrics","volume":"248 ","pages":"Article 105947"},"PeriodicalIF":9.9,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526831","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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