Astrostatistics

This course deals with statistical data analysis, with an application towards astronomical and cosmological observations.  Starting from Bayes' theorem, we show how it can be used for data-driven inference, including analytical, Monte Carlo, as well as machine learning implementations.  Topics to be covered include: introduction to probability, maxlimum likelihood estimation, Bayesian vs classical frequentist statistics, parameter inference (analytic and Monte Carlo methods), model selection, likelihood free inference, data compression, regression, introduction to neural networks and simulation based inference.  Examples will be given throughout, with a focus towards topical problems in astrophysics and cosmology.