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Joint confidence sets for structural impulse responses

结构脉冲响应的联合置信集

Many questions of economic interest in structural VAR analysis involve estimates of multiple impulse response functions. Other questions relate to the shape of a given impulse response function. Answering these questions requires joint inference about sets of structural impulse responses, allowing for dependencies across time as well as across response functions. Such joint inference is complicated by the fact that the joint distribution of the structural impulse response…

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Tests of the co-integration rank in VAR models in the presence of a possible break in trend at an unknown point

未知时点可能存在趋势断点时的 VAR 协整秩检验

In this paper we consider the problem of testing for the co-integration rank of a vector autoregressive process in the case where a trend break may potentially be present in the data. It is known that un-modelled trend breaks can result in tests which are incorrectly sized under the null hypothesis and inconsistent under the alternative hypothesis. Extant procedures in this literature have attempted to solve this inference problem but require the practitioner to either…

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Individual and time effects in nonlinear panel models with large N , T

大 N、大 T 非线性面板模型中的个体与时间效应

We derive fixed effects estimators of parameters and average partial effects in (possibly dynamic) nonlinear panel data models with individual and time effects. They cover logit, probit, ordered probit, Poisson and Tobit models that are important for many empirical applications in micro and macroeconomics. Our estimators use analytical and jackknife bias corrections to deal with the incidental parameter problem, and are asymptotically unbiased under asymptotic sequences…

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A dual approach to inference for partially identified econometric models

部分识别计量模型推断的对偶方法

This paper considers inference for the set ΘI of parameter values that minimize a criterion function. Chernozhukov et al. (2007) (CHT) develop a general theory of estimation and inference using the level-set of a criterion function. We establish a dual relationship between the level-set estimator and its support function and show that the properly normalized support function provides alternative Wald-type inference methods. These methods can be used to obtain confidence sets…

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Bootstrap inference for instrumental variable models with many weak instruments

多弱工具变量模型的自助法推断

This study’s main contribution is to theoretically analyze the application of bootstrap methods to instrumental variable models when the available instruments may be weak and the number of instruments goes to infinity with the sample size. We demonstrate that a standard residual-based bootstrap procedure cannot consistently estimate the distribution of the limited information maximum likelihood estimator or Fuller (1977) estimator under many/many weak instrument sequence.…

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Bayesian analysis of static and dynamic factor models: An ex-post approach towards the rotation problem

静态与动态因子模型的贝叶斯分析:旋转问题的事后处理

Due to their indeterminacies, static and dynamic factor models require identifying assumptions to guarantee uniqueness of the parameter estimator. The indeterminacy of the parameter estimator with respect to an orthogonal transformation is known as the rotation problem. The typical strategy in Bayesian factor analysis to solve the rotation problem is to introduce ex-ante constraints on certain model parameters via degenerate and truncated prior distributions. This strategy,…

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A reexamination of stock return predictability

股票收益可预测性的再考察

We provide a simple and innovative approach to test for predictability in stock returns. Our approach consists of two methodologies, time change and instrumental variable estimation, which are employed respectively to deal effectively with persistent stochastic volatility in stock returns and endogenous nonstationarity in their predictors. These are prominent characteristics of the data used in predictive regressions, which are known to have a substantial impact on the test…

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Nonstationarity in time series of state densities

状态密度时间序列的非平稳性

This paper proposes a new framework to analyze the nonstationarity in the time series of state densities, representing either cross-sectional or intra-period distributions of some underlying economic variables. We regard each state density as a realization of Hilbertian random variable, and use a functional time series model to fit a given time series of state densities. This allows us to explore various sources of the nonstationarity of such time series. The potential unit…

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Predictive quantile regression with persistent covariates: IVX-QR approach

持续协变量下的预测分位数回归:IVX-QR 方法

This paper develops econometric methods for inference and prediction in quantile regression (QR) allowing for persistent predictors. Conventional QR econometric techniques lose their validity when predictors are highly persistent. I adopt and extend a methodology called IVX filtering (Magdalinos and Phillips, 2009) that is designed to handle predictor variables with various degrees of persistence. The proposed IVX-QR methods correct the distortion arising from persistent…

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Testing for Granger causality with mixed frequency data

混频数据的格兰杰因果检验

We develop Granger causality tests that apply directly to data sampled at different frequencies. We show that taking advantage of mixed frequency data allows us to better recover causal relationships when compared to the conventional common low frequency approach. We also show that the new causality tests have higher local asymptotic power as well as more power in finite samples compared to conventional tests. In an empirical application involving U.S. macroeconomic…

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Model averaging based on leave-subject-out cross-validation

基于留一受试者交叉验证的模型平均

This paper develops a frequentist model averaging method based on the leave-subject-out cross-validation. This method is applicable not only to averaging longitudinal data models, but also to averaging time series models which can have heteroscedastic errors. The resulting model averaging estimators are proved to be asymptotically optimal in the sense of achieving the lowest possible squared errors. Both simulation study and empirical example show the superiority of the…

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Asymptotic refinements of a misspecification-robust bootstrap for GEL estimators

GEL 估计量的模型误设稳健自助法与高阶渐近改进

I propose a nonparametric iid bootstrap procedure for the empirical likelihood, the exponential tilting, and the exponentially tilted empirical likelihood estimators that achieves asymptotic refinements for t tests and confidence intervals, and Wald tests and confidence regions based on such estimators. Furthermore, the proposed bootstrap is robust to model misspecification, i.e., it achieves asymptotic refinements regardless of whether the assumed moment condition model is…

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Inference on co-integration parameters in heteroskedastic vector autoregressions

异方差向量自回归中的协整参数推断

We consider estimation and hypothesis testing on the coefficients of the co-integrating relations and the adjustment coefficients in vector autoregressions driven by shocks which display both conditional and unconditional heteroskedasticity of a quite general and unknown form. We show that the conventional results in Johansen (1996) for the maximum likelihood estimators and associated likelihood ratio tests derived under homoskedasticity do not in general hold under…

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Root- T consistent density estimation in GARCH models

GARCH 模型中具有根 T 收敛率的密度估计

We consider a new nonparametric estimator of the stationary density of the logarithm of the volatility of the GARCH(1,1) model. This problem is particularly challenging since this density is still unknown, even in cases where the model parameters are given. Although the volatility variables are only observed with multiplicative independent innovation errors with unknown density, we manage to construct a nonparametric procedure which estimates the log volatility density…

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Bayesian semiparametric modeling of realized covariance matrices

已实现协方差矩阵的贝叶斯半参数建模

This paper introduces several new Bayesian nonparametric models suitable for capturing the unknown conditional distribution of realized covariance (RCOV) matrices. Existing dynamic Wishart models are extended to countably infinite mixture models of Wishart and inverse-Wishart distributions. In addition to mixture models with constant weights we propose models with time-varying weights to capture time dependence in the unknown distribution. Each of our models can be combined…

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Bandwidth selection and asymptotic properties of local nonparametric estimators in possibly nonstationary continuous-time models

可能非平稳连续时间模型中局部非参数估计的带宽选择与渐近性质

We derive the asymptotic properties of nonparametric estimators of the drift and diffusion functions, and the local time, of a discretely sampled diffusion process that is possibly nonstationary. We provide complete two-dimensional asymptotics in both the time span and the sampling interval, allowing for a precise characterization of their distribution, as well as the determination of optimal bandwidths for these estimators.

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Exploiting the errors: A simple approach for improved volatility forecasting

利用测量误差改进波动率预测的简便方法

We propose a new family of easy-to-implement realized volatility based forecasting models. The models exploit the asymptotic theory for high-frequency realized volatility estimation to improve the accuracy of the forecasts. By allowing the parameters of the models to vary explicitly with the (estimated) degree of measurement error, the models exhibit stronger persistence, and in turn generate more responsive forecasts, when the measurement error is relatively low.…

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On independence conditions in nonseparable models: Observable and unobservable instruments

非可分模型中的独立性条件:可观测与不可观测工具变量

This paper develops identification results employing independence conditions among unobservable variables. The independence conditions are used to derive first-stage nonseparable reduced form functions. Once constructed, these reduced form functions are employed to express the derivatives of nonseparable structural functions in terms of the derivatives of the reduced form functions. For models with simultaneity, we obtain the new results by combining the independence…

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A solution to aggregation and an application to multidimensional ‘well-being’ frontiers

多维聚合函数的识别与估计:福祉分位前沿应用

We propose a new technique for identification and estimation of aggregation functions in multidimensional evaluations and multiple indicator settings. These functions may represent “latent” objects. They occur in many different contexts, for instance in propensity scores, multivariate measures of well-being and the related analysis of inequality and poverty, and in equivalence scales. Technical advances allow nonparametric inference on the joint distribution of continuous…

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Dynamic treatment effects

动态处理效应

This paper develops robust models for estimating and interpreting treatment effects arising from both ordered and unordered multi-stage decision problems. Identification is secured through instrumental variables and/or conditional independence (matching) assumptions. We decompose treatment effects into direct effects and continuation values associated with moving to the next stage of a decision problem. Using our framework, we decompose the IV estimator, showing that IV…

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Estimating the quadratic covariation matrix for asynchronously observed high frequency stock returns corrupted by additive measurement error

异步且含加性测量误差的高频股票收益二次协变差矩阵估计

This paper studies the estimation problem of the covariance matrices of asset returns in the presence of microstructure noise and asynchronicity between the observations across different assets. Motivated by Malliavin and Mancino (2002, 2009) we propose a new Fourier domain based estimator of multivariate ex-post volatility, which we call the Fourier Realized Kernel (FRK). An advantage of this approach is that no explicit time alignment is required unlike the time domain…

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A least squares approach to imposing within-region fixity in the International Comparisons Program

国际比较项目中维持区域内固定性的最小二乘方法

The International Comparisons Program (ICP) compares the purchasing power of currencies and real income across countries. ICP is broken up into six regions. Global results are then obtained by linking these regions together at both basic heading level and the aggregate level in a way that satisfies within-region fixity (i.e., the relative parities of a pair of countries in the same region are the same in the global comparison as in the within-region comparison). Standard…

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Consistent tests for poverty dominance relations

贫困占优关系的一致检验

This paper considers methods for comparing poverty in two income distributions. We first discuss the concept and usefulness of the Poverty Gap Profile (PGP) for comparing poverty in two populations. Dominance of one PGP over another suggests poverty dominance for a wide class of indices which may be expressed as functionals of the PGP. We then discuss hypotheses that can be used to test poverty dominance in terms of the PGP and introduce and justify a test statistic based on…

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Stochastic approach to computation of purchasing power parities in the International Comparison Program (ICP)

国际比较项目购买力平价计算的随机方法

The paper presents a stochastic approach based on the country-product-dummy (CPD) method for the computation of purchasing power parities (PPPs) in the International Comparison Program. The approach develops estimation strategies in conjunction with the country-product-dummy method to derive a range of multilateral index number methods for the compilation of PPPs at the basic heading level as well as at higher levels of aggregation. At the basic heading level our approach…

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