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High Dimensional Time Series Regression Models: Applications to Statistical Learning Methods

arXiv 2308.16192 ↗First posted 27 Aug 2023econ.EM stat.MLcited by 0

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Abstract (arXiv)

These lecture notes provide an overview of existing methodologies and recent developments for estimation and inference with high dimensional time series regression models. First, we present main limit theory results for high dimensional dependent data which is relevant to covariance matrix structures as well as to dependent time series sequences. Second, we present main aspects of the asymptotic theory related to time series regression models with many covariates. Third, we discuss various applications of statistical learning methodologies for time series analysis purposes.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 12 of its 232 references that are in the map. First posted on arXiv 27 Aug 2023.

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References · 12

  1. 2015Selective Sequential Model Selectioncited by 17
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  8. 2022Deep Learning Based Residuals in Non-linear Factor Models: Precision Matrix Estimation of Returns with Low Signal-to-Noise Ratiocited by 2
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  11. 2022Inference on Time Series Nonparametric Conditional Moment Restrictions Using General Sievescited by 1
  12. 2023Statistical Estimation for Covariance Structures with Tail Estimates using Nodewise Quantile Predictive Regression Modelscited by 1

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