Stochastic Simulations: Concepts and Applications

Stochastic Simulations: Concepts and Applications

3-4 hours of lectures per week.

Lecturer
Jens Ledet Jensen and Eva B. Vedel Jensen

Content
The course will start with an introduction to basic methods in stochastic simulations. This will include the acception-rejection method for simulating a distribution, output analysis to evaluate the quality of a simulation, and methods for improving the quality: importance sampling, control variates, antithetic sampling. Among the possible subjects for the remaining part of the course are: Markov chain Monte Carlo, exact simulation, rare event simulation, maximization of a function determined by simulation, state space models, hidden Markov models and point processes.

Prerequisites
Probability 1 and Statistics 1.

Assessment
Evaluation will be based on active participation.

Literature
Articles and notes