This is a basic course in mathematical statistics at the graduate level. It assumes knowledge of univariate calculus and a nodding acquaintance with multivariate calculus. The first part of the course includes a brief review of probability theory, distributions functions of univariate and multivariate random variables, sampling theory and convergence concepts. The second part of the course covers statistical inference (parameter estimation and tests of hypothesis). The third part of the course provides an introduction to several statistical methods, including ANOVA and linear regression.
There will be regular homework assignments, a midterm and a final. The midterm and final will be open book. Homework will be an individual effort, but help may be obtained from fellow students.
Marcelo Olivares was a Columbia Business School faculty member from 2007 to 2016.