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Estimation and Inference in High-Dimensional Panel Data Models with Interactive Fixed Effects

含交互固定效应的高维面板数据模型:估计与推断

We develop new econometric methods for estimation and inference in high-dimensional panel data models with interactive fixed effects. Our approach can be regarded as a non-trivial extension of the very popular common correlated effects (CCE) approach. Roughly speaking, we proceed as follows: We first construct a projection device to eliminate the unobserved factors from the model by applying a dimensionality reduction transform to the matrix of cross-sectionally averaged…

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Estimating Factor-Based Spot Volatility Matrices with Noisy and Asynchronous High-Frequency Data

含噪声且异步的高频数据下因子型瞬时波动率矩阵估计

We propose a new estimator of high-dimensional spot volatility matrices satisfying a low-rank plus sparse structure from noisy and asynchronous high-frequency data collected for an ultra-large number of assets. The noise processes are allowed to be temporally correlated, heteroskedastic, asymptotically vanishing and dependent on the efficient prices. We define a kernel-weighted pre-averaging method to jointly tackle the microstructure noise and asynchronicity issues, and we…

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Nonparametric Estimation of Large Spot Volatility Matrices for High-Frequency Financial Data

高频金融数据大维瞬时波动率矩阵的非参数估计

In this paper, we consider estimating spot/instantaneous volatility matrices of high-frequency data collected for a large number of assets. We first combine classic nonparametric kernel-based smoothing with a generalised shrinkage technique in the matrix estimation for noise-free data under a uniform sparsity assumption, a natural extension of the approximate sparsity commonly used in the literature. The uniform consistency property is derived for the proposed spot…

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The Cross-Quantilogram: Measuring Quantile Dependence and Testing Directional Predictability between Time Series

交叉分位相关图:时间序列分位依赖与方向可预测性检验

This paper proposes the cross-quantilogram to measure the quantile dependence between two time series. We apply it to test the hypothesis that one time series has no directional predictability to another time series. We establish the asymptotic distribution of the cross quantilogram and the corresponding test statistic. The limiting distributions depend on nuisance parameters. To construct consistent confidence intervals we employ the stationary bootstrap procedure; we show…

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Estimation in Semiparametric Quantile Factor Models

半参数分位数因子模型的估计

We propose an estimation methodology for a semiparametric quantile factor panel model. We provide tools for inference that are robust to the existence of moments and to the form of weak cross-sectional dependence in the idiosyncratic error term. We apply our method to daily stock return data.

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