This course is concerned with “Mathematical Statistics”, i.e., mathematical ideas and tools that are used by statisticians to analyse data. We will study techniques for estimating parameters, fitting models, and testing hypotheses. Statistics is concerned with data analysis: using data to make inferences. It is concerned with questions like ‘what is this data telling me?’ and ‘what does this data suggest it is reasonable to believe?’ Two of its principal concerns are parameter estimation and hypothesis testing.