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On High-Dimensional Constrained Maximum Likelihood Inference

高维约束最大似然推断

Inference in a high-dimensional situation may involve regularization of a certain form to treat overparameterization, imposing challenges to inference. The common practice of inference uses either a regularized model, as in inference after model selection, or bias-reduction known as “debias.” While the first ignores statistical uncertainty inherent in regularization, the second reduces the bias inbred in regularization at the expense of increased variance. In this article,…

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From Distance Correlation to Multiscale Graph Correlation

从距离相关到多尺度图相关

Understanding and developing a correlation measure that can detect general dependencies is not only imperative to statistics and machine learning, but also crucial to general scientific discovery in the big data age. In this paper, we establish a new framework that generalizes distance correlation (Dcorr)—a correlation measure that was recently proposed and shown to be universally consistent for dependence testing against all joint distributions of finite moments—to the…

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Bayesian Repulsive Gaussian Mixture Model

贝叶斯排斥型高斯混合模型

We develop a general class of Bayesian repulsive Gaussian mixture models that encourage well-separated clusters, aiming at reducing potentially redundant components produced by independent priors for locations (such as the Dirichlet process). The asymptotic results for the posterior distribution of the proposed models are derived, including posterior consistency and posterior contraction rate in the context of nonparametric density estimation. More importantly, we show that…

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From Fixed-X to Random-X Regression: Bias-Variance Decompositions, Covariance Penalties, and Prediction Error Estimation

从固定设计到随机设计回归:偏差方差分解、协方差惩罚与预测误差估计

In statistical prediction, classical approaches for model selection and model evaluation based on covariance penalties are still widely used. Most of the literature on this topic is based on what we call the “Fixed-X” assumption, where covariate values are assumed to be nonrandom. By contrast, it is often more reasonable to take a “Random-X” view, where the covariate values are independently drawn for both training and prediction. To study the applicability of covariance…

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RETRACTED ARTICLE: Smoothing with Couplings of Conditional Particle Filters

已撤稿:通过条件粒子滤波器的耦合进行平滑

Statement of RetractionWe, the Authors, Editors, and Publishers of the Journal of the American Statistical Association, have retracted the following article:P.E. Jacob, F.Lindsten, T. B. Schön. “Sm...

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Debiased Inference of Average Partial Effects in Single-Index Models: Comment on Wooldridge and Zhu

单指标模型平均偏效应的去偏推断:对Wooldridge与Zhu的评论

There has recently been a considerable amount of interest in developing methods for statistical inference in high-dimensional regimes with more covariates than data points (Javanmard and Montanari ...

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Inference in Approximately Sparse Correlated Random Effects Probit Models With Panel Data

近似稀疏相关随机效应面板Probit模型的统计推断

We propose a simple procedure based on an existing “debiased” l1-regularized method for inference of the average partial effects (APEs) in approximately sparse probit and fractional probit models with panel data, where the number of time periods is fixed and small relative to the number of cross-sectional observations. Our method is computationally simple and does not suffer from the incidental parameters problems that come from attempting to estimate as a parameter the…

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The Finite Sample Performance of Inference Methods for Propensity Score Matching and Weighting Estimators

倾向得分匹配与加权估计量推断方法的有限样本表现

This article investigates the finite sample properties of a range of inference methods for propensity score-based matching and weighting estimators frequently applied to evaluate the average treatment effect on the treated. We analyze both asymptotic approximations and bootstrap methods for computing variances and confidence intervals in our simulation designs, which are based on German register data and U.S. survey data. We vary the design w.r.t. treatment selectivity,…

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Testing Alphas in Conditional Time-Varying Factor Models With High-Dimensional Assets

高维资产条件时变因子模型中的 Alpha 检验

For conditional time-varying factor models with high-dimensional assets, this article proposes a high-dimensional alpha (HDA) test to assess whether there exist abnormal returns on securities (or portfolios) over the theoretical expected returns. To employ this test effectively, a constant coefficient test is also introduced. It examines the validity of constant alphas and factor loadings. Simulation studies and an empirical example are presented to illustrate the finite…

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Conditional Extremes in Asymmetric Financial Markets

非对称金融市场中的条件极值

The global financial crisis of 2007–2009 revealed the great extent to which systemic risk can jeopardize the stability of the entire financial system. An effective methodology to quantify systemic risk is at the heart of the process of identifying the so-called systemically important financial institutions for regulatory purposes as well as to investigate key drivers of systemic contagion. The article proposes a method for dynamic forecasting of CoVaR, a popular measure of…

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Mixed Marginal Copula Modeling

混合边际分布的 Copula 建模

This article extends the literature on copulas with discrete or continuous marginals to the case where some of the marginals are a mixture of discrete and continuous components. We do so by carefully defining the likelihood as the density of the observations with respect to a mixed measure. The treatment is quite general, although we focus on mixtures of Gaussian and Archimedean copulas. The inference is Bayesian with the estimation carried out by Markov chain Monte Carlo.…

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Transformation-Kernel Estimation of Copula Densities

Copula 密度的变换核估计

The standard kernel estimator of copula densities suffers from boundary biases and inconsistency due to unbounded densities. Transforming the domain of estimation into an unbounded one remedies both problems, but also introduces an unbounded multiplier that may produce erratic boundary behaviors in the final density estimate. We propose an improved transformation-kernel estimator that employs a smooth tapering device to counter the undesirable influence of the multiplier. We…

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Shape-Constrained Kernel-Weighted Least Squares: Estimating Production Functions for Chilean Manufacturing Industries

形状约束核加权最小二乘:智利制造业生产函数估计

In this article, we examine a novel way of imposing shape constraints on a local polynomial kernel estimator. The proposed approach is referred to as shape constrained kernel-weighted least squares (SCKLS). We prove uniform consistency of the SCKLS estimator with monotonicity and convexity/concavity constraints and establish its convergence rate. In addition, we propose a test to validate whether shape constraints are correctly specified. The competitiveness of SCKLS is…

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The Estimation of Compensating Wage Differentials: Lessons From the Deadliest Catch

补偿性工资差异的估计:来自高致死风险渔业的启示

I use longitudinal survey data from commercial fishing deckhands in the Alaskan Bering Sea to provide new insights on empirical methods commonly used to estimate compensating wage differentials and the value of statistical life (VSL). The unique setting exploits intertemporal variation in fatality rates and wages within worker-vessel pairs caused by a combination of weather patterns and policy changes, allowing identification of parameters and biases that it has only been…

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Bootstrapping Noncausal Autoregressions: With Applications to Explosive Bubble Modeling

非因果自回归的 Bootstrap 推断及其在爆炸性泡沫建模中的应用

In this article, we develop new bootstrap-based inference for noncausal autoregressions with heavy-tailed innovations. This class of models is widely used for modeling bubbles and explosive dynamics in economic and financial time series. In the noncausal, heavy-tail framework, a major drawback of asymptotic inference is that it is not feasible in practice as the relevant limiting distributions depend crucially on the (unknown) decay rate of the tails of the distribution of…

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Choosing Prior Hyperparameters: With Applications to Time-Varying Parameter Models

先验超参数的选择及其在时变参数模型中的应用

Time-varying parameter models with stochastic volatility are widely used to study macroeconomic and financial data. These models are almost exclusively estimated using Bayesian methods. A common practice is to focus on prior distributions that themselves depend on relatively few hyperparameters such as the scaling factor for the prior covariance matrix of the residuals governing time variation in the parameters. The choice of these hyperparameters is crucial because their…

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Volatility Martingale Difference Divergence Matrix and Its Application to Dimension Reduction for Multivariate Volatility

波动率鞅差散度矩阵及其在多元波动率降维中的应用

In this article, we propose the so-called volatility martingale difference divergence matrix (VMDDM) to quantify the conditional variance dependence of a random vector Y∈Rp$Y\in \mathbb {R}^p$ given X∈Rq$X\in \mathbb {R}^q$, building on the recent work on martigale difference divergence matrix (MDDM) that measures the conditional mean dependence. We further generalize VMDDM to the time series context and apply it to do dimension reduction for multivariate volatility,…

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Testing Nowcast Monotonicity with Estimated Factors

使用估计因子检验即时预测的单调性

This article proposes a test to determine whether “big data” nowcasting methods, which have become an important tool to many public and private institutions, are monotonically improving as new information becomes available. The test is the first to formalize existing evaluation procedures from the nowcasting literature. We place particular emphasis on models involving estimated factors, since factor-based methods are a leading case in the high-dimensional empirical…

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Large Bayesian VARs: A Flexible Kronecker Error Covariance Structure

大型贝叶斯 VAR:灵活的 Kronecker 误差协方差结构

We introduce a class of large Bayesian vector autoregressions (BVARs) that allows for non-Gaussian, heteroscedastic, and serially dependent innovations. To make estimation computationally tractable, we exploit a certain Kronecker structure of the likelihood implied by this class of models. We propose a unified approach for estimating these models using Markov chain Monte Carlo (MCMC) methods. In an application that involves 20 macroeconomic variables, we find that these…

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Optimal data collection for randomized control trials

随机对照试验的最优数据收集

Summary In a randomized control trial, the precision of an average treatment effect estimator and the power of the corresponding t-test can be improved either by collecting data on additional individuals, or by collecting additional covariates that predict the outcome variable. To design the experiment, a researcher needs to solve this trade-off subject to her budget constraint. We show that this optimization problem is equivalent to optimally predicting outcomes by the…

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Kernel estimation for panel data with heterogeneous dynamics

异质动态面板数据的核估计

Summary This paper proposes nonparametric kernel-smoothing estimation for panel data to examine the degree of heterogeneity across cross-sectional units. We first estimate the sample mean, autocovariances, and autocorrelations for each unit and then apply kernel smoothing to compute their density functions. The dependence of the kernel estimator on bandwidth makes asymptotic bias of very high order affect the required condition on the relative magnitudes of the…

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A new structural break test for panels with common factors

含共同因子面板的一种新结构突变检验

Summary This paper develops new tests against a structural break in panel data models with common factors when T is fixed, where T denotes the number of observations over time. For this class of models, the available tests against a structural break are valid only under the assumption that T is ‘large’. However, this may be a stringent requirement—more commonly so in datasets with annual time frequency, in which case the sample may cover a relatively long period even if T is…

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Information technology outsourcing and firm productivity: eliminating bias from selective missingness in the dependent variable

信息技术外包与企业生产率:消除因变量选择性缺失带来的偏差

Summary Missing values are a major problem in all econometric applications based on survey data. A standard approach assumes data are missing at random and uses imputation methods or even listwise deletion. This approach is justified if item nonresponse does not depend on the potentially missing variables’ realization. However, assuming missingness at random may introduce bias if nonresponse is, in fact, selective. Relevant applications range from financial or strategic…

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Inference on finite-population treatment effects under limited overlap

重叠有限时有限总体处理效应的推断

Summary This paper studies inference on finite-population average and local average treatment effects under limited overlap, meaning that some strata have a small proportion of treated or untreated units. We model limited overlap in an asymptotic framework, sending the propensity score to zero (or one) with the sample size. We derive the asymptotic distribution of analogue estimators of the treatment effects under two common randomization schemes: conditionally independent…

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