Course Unit

Catalogue

Stochastic models

  • Unit Coordinator: dr hab. inż. Wojciech Kempa, prof. PŚ
  • Programme: Double Degrees
  • ECTS Credits: 5
  • Year: 2
  • Campus: Silesian University of Technology
  • Language: English
  • Aims:

    The aim of the course is to familiarize students with basic stochastic models used in technical, economic, and natural sciences, as well as with the basics of stochastic simulation.

  • Content:

    1. Fundamentals of the theory of stochastic processes.

    2. Poisson processes (simple, compound and non-stationary)

    3. Elements of renewal theory. The renewal process and the renewal equation.

    4. Markov chains with discrete and continuous time parameters.

    5. Basics of queueing theory.

    6. The Galton-Watson branching process.

    7.  Basics of stochastic simulation.

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