The course deals with probability theory and methods for statistical inference and is preparing students for future studies in business analytics, econometrics and statistics. The statistical software R is used in the course.

- Stochastic variables, probability distributions, one- and multivariate

- Transformations of variables; moments

- Special distributions: Normal, exponential, Gamma, Beta, t, F and chisquare.

- Modes of convergence: in probability, in distribution; law of large numbers and the central limit theorem

- Sample distributions

- Estimation: The maximum likelihood principle, consistency and efficiency

- Hypothesis testing: The likelihood ratio method

- Bayesian methods