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Gamma-Driven Markov Processes and Extensions with Application to Realized Volatility

伽马驱动马尔可夫过程及其扩展:已实现波动率应用

We propose a novel class of Markov processes for dealing with continuous positive time series data, which is constructed based on a latent gamma effect and named gamma-driven (GD) models.The GD processes possess desirable properties and features: (i) it can produce any desirable invariant distribution with support on R + , (ii) it is time-reversible, and (iii) it has the transition density function given in an explicit form.Estimation of parameters is performed through the…

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Max Share Identification of Multiple Shocks: An Application to Uncertainty and Financial Conditions

多重冲击的最大份额识别:不确定性与金融条件的应用

We generalize the Max Share approach to allow for simultaneous identification of a multiplicity of shocks in a Structural Vector Autoregression. Our machinery therefore overcomes the well-known drawbacks that individually identified shocks (i) tend to be correlated to each other or (ii) can be separated under orthogonalizations with weak economic ground. We show that identification corresponds to solving a non-trivial optimization problem. We provide conditions for…

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A Statistically Identified Structural Vector Autoregression with Endogenously Switching Volatility Regime

具有内生波动率状态切换的统计识别结构向量自回归

We introduce a structural vector autoregressive model with endogenously switching conditional covariance matrix.The structural shocks are identified by simultaneously diagonalizing the reduced form error covariance matrices.It is not, however, always clear whether the condition for the full statistical identification is satisfied, and its validity is difficult to justify formally.Therefore, we provide general sets of conditions, that allow to combine sign and zero…

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Counterfactual Imputation: Comments on “Imputation of Counterfactual Outcomes when the Errors are Predictable” by Silvia Gonçalves and Serena Ng

反事实插补:对可预测误差下反事实结果插补方法的评论

The measurement of treatment (intervention) effects on a single (or just a few) treated unit(s) based on counterfactuals constructed from artificial controls has become a popular practice in applied statistics and economics since the proposal of the synthetic control method. However, most of the literature has ignored the time-series properties of the data. The work of Gonçalves and Ng fills this gap by proposing a simple correction for existing estimators to take into…

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Discussion of “Imputation of Counterfactual Outcomes when the Errors are Predictable” by Sílvia Gonçalves and Serena Ng

《误差可预测时的反事实结果插补》讨论:从处理选择理解 PUP

I argue that the PUP approach proposed by Goncalves and Ng is not only useful for reducing the mean squared error of treatment effect estimators but can also be motivated from an identification perspective when units select into treatment based on past shocks.

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On “Imputation of Counterfactual Outcomes when the Errors are Predictable”: Discussions on Misspecification and Suggestions of Sensitivity Analyses

《误差可预测时的反事实结果插补》讨论:误设与敏感性分析

Gonçalves and Ng propose an interesting and simple way to improve counterfactual imputation methods when errors are predictable. For unconditional analyses, this approach yields smaller mean-squared error and tighter prediction intervals in large samples, even if the dependence of the errors is misspecified. For conditional analyses, this approach corrects the bias of standard methods, and provides valid asymptotic inference, if the dependence of the errors is correctly…

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On “Imputation of Counterfactual Outcomes When the Errors Are Predictable”: Viewing the PUP as the DID and the LDV

从双重差分与滞后因变量视角理解 PUP

I discuss the practical unbiased predictor (PUP; Gonçalves and Ng) from the viewpoint of the literature on identification in event studies. The PUP can be seen as the prediction based on a generalized estimand that encompasses both the difference-in-differences (DID) and the lagged dependent variable (LDV). This feature of the PUP allows for a doubly robust property that the identification is achieved when either the parallel trend assumption or the LDV assumption holds at…

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Imputation of Counterfactual Outcomes when the Errors are Predictable: Rejoinder

《误差可预测时的反事实结果插补》作者回应

We thank Bruno Ferman (BF), Marcelo Medeiros (MM), Yuya Sasaki (YS), and Kaspar Wüthrich (KW) for their constructive comments on our paper. Below are some further thoughts.1 The discussants offered...

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Imputation of Counterfactual Outcomes when the Errors are Predictable

误差可预测时的反事实结果插补

A crucial input into causal inference is the imputed counterfactual outcome. Imputation error can arise because of sampling uncertainty from estimating the prediction model using the untreated observations, or from out-of-sample information not captured by the model. While the literature has focused on sampling uncertainty, it vanishes with the sample size. Often overlooked is the possibility that the out-of-sample error can be informative about the missing counterfactual…

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The Block-Correlated Pseudo Marginal Sampler for State Space Models

状态空间模型的分块相关伪边际采样器

Pseudo Marginal Metropolis-Hastings (PMMH) is a general approach to Bayesian inference when the likelihood is intractable, but can be estimated unbiasedly.Our article develops an efficient PMMH method that scales up better to higher dimensional state vectors than previous approaches.The improvement is achieved by the following innovations.First, a novel block version of PMMH that works with multiple particle filters is proposed.Second, the trimmed mean of the unbiased…

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Robust Narrowest Significance Pursuit: Inference for Multiple Change-Points in the Median

稳健最窄显著区间搜索:中位数多重变点推断

We propose Robust Narrowest Significance Pursuit (RNSP), a methodology for detecting localized regions in data sequences which each must contain a change-point in the median, at a prescribed global significance level.RNSP works by fitting the postulated constant model over many regions of the data using a new signmultiresolution sup-norm-type loss, and greedily identifying the shortest intervals on which the constancy is significantly violated.By working with the signs of…

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Testing Quantile Forecast Optimality

分位数预测最优性检验

Quantile forecasts made across multiple horizons have become an important output of many financial institutions, central banks and international organisations. This paper proposes misspecification tests for such quantile forecasts that assess optimality over a set of multiple forecast horizons and/or quantiles. The tests build on multiple Mincer-Zarnowitz quantile regressions cast in a moment equality framework. Our main test is for the null hypothesis of autocalibration, a…

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Should Humans Lie to Machines? The Incentive Compatibility of Lasso and GLM Structured Sparsity Estimators

人应当向机器谎报吗?Lasso 与广义线性结构稀疏估计的激励相容性

We consider situations where a user feeds her attributes to a machine learning method that tries to predict her best option based on a random sample of other users. The predictor is incentive-compatible if the user has no incentive to misreport her covariates. Focusing on the popular Lasso estimation technique, we borrow tools from high-dimensional statistics to characterize sufficient conditions that ensure that Lasso is incentive compatible in the asymptotic case. We…

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Dynamic Realized Minimum Variance Portfolio Models

动态已实现最小方差投资组合模型

This article introduces a dynamic minimum variance portfolio (MVP) model using nonlinear volatility dynamic models, based on high-frequency financial data. Specifically, we impose an autoregressive dynamic structure on MVP processes, which helps capture the MVP dynamics directly. To evaluate the dynamic MVP model, we estimate the inverse volatility matrix using the constrained l1-minimization for inverse matrix estimation (CLIME) and calculate daily realized non-normalized…

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Investigating Growth-at-Risk Using a Multicountry Nonparametric Quantile Factor Model

利用多国非参数分位数因子模型研究增长风险

We develop a nonparametric quantile panel regression model.Within each quantile, the quantile function is a combination of linear and nonlinear parts, which we approximate using Bayesian Additive Regression Trees (BART).Cross-sectional information is captured through a conditionally heteroscedastic latent factor.The nonparametric feature enhances flexibility, while the panel feature increases the number of observations in the tails.We develop Bayesian methods for inference…

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Adaptive Testing for Alphas in Conditional Factor Models with High Dimensional Assets

高维资产条件因子模型中 alpha 的自适应检验

This article focuses on testing for the presence of alpha in time-varying factor pricing models, specifically when the number of securities N is larger than the time dimension of the return series T. We introduce a maximum-type test that performs well in scenarios where the alternative hypothesis is sparse. We establish the limit null distribution of the proposed maximum-type test statistic and demonstrate its asymptotic independence from the sum-type test statistics…

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Maximum-Subsampling Test of Equal Predictive Ability

预测能力相等的最大子抽样检验

In comparing the accuracy of any two competing forecasts, under the assumption that the loss differentials are covariance stationary, Diebold and Mariano (DM) proposed a test statistic that is asymptotically normal. This test is further studied by Giacomini and White (GW). However, under the DM-GW framework, the estimator of the variance of the DM test can be inaccurate in small samples, which yields size distortions; see, for example, Coroneo and Iacone (CI). To alleviate…

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Identification and Auto-Debiased Machine Learning for Outcome-Conditioned Average Structural Derivatives

结果条件平均结构导数的识别与自动去偏机器学习

This study proposes a new class of heterogeneous causal quantities, referred to as outcome-conditioned average structural derivatives (OASDs), in a general nonseparable model. An OASD is the average partial effect of a marginal change in a continuous treatment on individuals located on different parts of an outcome distribution, irrespective of individuals’ characteristics. We show that OASDs extend the unconditional quantile partial effects (UQPE) proposed by Firpo, Fortin,…

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Detecting Multiple Level Shifts in Bounded Time Series

有界时间序列中多重水平变动的检测

The article proposes a sequential statistical procedure to test for the presence of level shifts affecting bounded time series, regardless of their order of integration. The article shows that bounds are relevant for the statistic that assumes that the time series are integrated of order one. In contrast, they do not affect the limiting distribution of the statistic that is defined for time series that are integrated of order zero. The article proposes a union rejection…

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Variable Selection Based Testing for Parameter Changes in Regression with Autoregressive Dependence

自回归依赖回归中基于变量选择的参数变化检验

We consider a regression model with autoregressive terms and propose significance tests for the detection of change points in this model. Our tests are applicable to both low- or moderate dimension and to high-dimension with sparse regressors. The dimension may be high from the practical point of view of economic and business applications, but in our theoretical framework it is fixed. To accommodate practically high dimension, variable selection is incorporated as an…

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Policy Analysis Using Multilevel Regression Models with Group Interactive Fixed Effects

使用组别交互固定效应多层回归模型进行政策分析

The use of multilevel regression models is prevalent in policy analysis to estimate the effect of group level policies on individual outcomes. In order to allow for the time varying effect of group heterogeneity and the group specific impact of time effects, we propose a group interactive fixed effects approach that employs interaction terms of group factor loadings and common factors in this model. For this approach, we consider the least squares estimator and associated…

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Testing for Equivalence of Pre-Trends in Difference-in-Differences Estimation

双重差分估计中处理前趋势的等价性检验

The plausibility of the “parallel trends assumption” in Difference-in-Differences estimation is usually assessed by a test of the null hypothesis that the difference between the average outcomes of both groups is constant over time before the treatment. However, failure to reject the null hypothesis does not imply the absence of differences in time trends between both groups. We provide equivalence tests that allow researchers to find evidence in favor of the parallel trends…

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Generalized Spectral Tests for Multivariate Martingale Difference Hypotheses

多变量鞅差假设的广义谱检验

This study proposes new generalized spectral tests for multivariate martingale difference hypotheses, specifically geared toward high-dimensionality scenarios where the dimension of the time series is comparable or even larger than the sample size in practice. We develop an asymptotic theory and a valid wild bootstrapping procedure for the new test statistics, in which the dimension of the time series is fixed. We demonstrate that a bias-reduced version of the test…

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Model Checking in Partially Linear Spatial Autoregressive Models

部分线性空间自回归模型的模型检验

This article proposes two new classes of nonparametric tests for the correct specification of linear spatial autoregressive models based on the “integrated conditional moment” approach. Our test statistics are constructed as continuous functionals of a residual marked empirical process as well as its projected version. We derive asymptotic properties of the test statistics under the null hypothesis, the alternative hypothesis, and a sequence of local alternatives. The…

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