- Knowing and understanding basic notions and concepts as well as important properties of different discrete and continuous time stochastic processes. (k1,k2)
- Applying mathematical results of stochastic processes to solve related problems. (k3)
- Analyzing, applying, and comparing different types of stochastic processes. (k3,k4)
- Implementing stochastic processes, based on relevant features, to simulate new data and to verify/investigate properties of interest. (k3-k6)
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- Notion, typology, and applications of stochastic processes
- Different types of stochastic processes
- Properties of discrete and continuous time stochastic processes
- Transition probabilities and matrices
- Long term behavior (e.g., absorption, stationary distributions, etc.)
- Simulation of stochastic processes
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