This course will focus on methods in time series econometrics designed to handle “big data.” We will talk about univariate predictive regressions with many regressors, discussing various dense and sparse regularization techniques, such as principal components, ridge, lasso and others.  We will discuss Bayesian inference in the context of these regressions and explore the connection between Bayesian shrinkage and regularization. The course will then cover some of the most popular multivariate econometric models for big data. We will talk about dynamic factor models, looking at different estimation techniques, including Bayesian. The course will also cover Bayesian VARs, detailing in particular how they can be used to deal with mixed-frequency and irregularly sampled data. We will discuss applications of these models and methods to nowcasting and forecasting in macroeconomics and finance. We will also touch on machine learning for macroeconomic forecasting.