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Automatic Lag Selection in Covariance Matrix Estimation

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TLDR
A nonparametric method for automatically selecting the number of autocovariances to use in computing a heteroskedasticity and autocorrelation consistent covariance matrix is proposed and proved to be asymptotically equivalent to one that is optimal under a mean squared error loss function.
Abstract
We propose a nonparametric method for automatically selecting the number of autocovariances to use in computing a heteroskedasticity and autocorrelation consistent covariance matrix. For a given kernel for weighting the autocovariances, we prove that our procedure is asymptotically equivalent to one that is optimal under a mean squared error loss function. Monte Carlo simulations suggest that our procedure performs tolerably well, although it does result in size distortions.

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Critical Values for Cointegration Tests in Heterogeneous Panels with Multiple Regressors

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Testing for error correction in panel data

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Fully modified OLS for heterogeneous cointegrated panels

TL;DR: In this paper, the authors used fully modified OLS principles to develop new methods for estimating and testing hypotheses for cointegrating vectors in dynamic panels in a manner that is consistent with the degree of cross sectional heterogeneity that has been permitted in recent panel unit root and panel cointegration studies.
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Robust standard errors for panel regressions with cross–sectional dependence

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References
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ReportDOI

A simple, positive semi-definite, heteroskedasticity and autocorrelation consistent covariance matrix

Whitney K. Newey, +1 more
- 01 May 1987 - 
TL;DR: In this article, a simple method of calculating a heteroskedasticity and autocorrelation consistent covariance matrix that is positive semi-definite by construction is described.
BookDOI

Density estimation for statistics and data analysis

TL;DR: The Kernel Method for Multivariate Data: Three Important Methods and Density Estimation in Action.
Journal Article

Spectral Analysis and Time Series

TL;DR: In this article, the authors introduce the concept of Stationary Random Processes and Spectral Analysis in the Time Domain and Frequency Domain, and present an analysis of Processes with Mixed Spectra.
Journal ArticleDOI

Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation

Donald W.K. Andrews
- 01 May 1991 - 
TL;DR: Using these results, data-dependent automatic bandwidth/lag truncation parameters are introduced and asymptotically optimal kernel/weighting scheme and bandwidth/agreement parameters are obtained.
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