Inhalt

[ 951MATSSPRK14 ] KV (*)Stochastic Processes

Versionsauswahl
(*) Leider ist diese Information in Deutsch nicht verfügbar.
Workload Ausbildungslevel Studienfachbereich VerantwortlicheR Semesterstunden Anbietende Uni
4 ECTS M1 - Master 1. Jahr Statistik Andreas Futschik 2 SSt Johannes Kepler Universität Linz
Detailinformationen
Anmeldevoraussetzungen (*)keine
Quellcurriculum Masterstudium Statistics and Data Science 2025W
Lernergebnisse
Kompetenzen
(*)Students are able to describe different real-world phenomena with suitable stochastic processes, both in discrete and continuous time. They are able to apply the concepts of stochastic processes on different types of data and can simulate new data from stochastic processes.
Fertigkeiten Kenntnisse
(*)
  • 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)
(*)
  • 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
Beurteilungskriterien (*)Exam, presentation of solved homeworks.
Lehrmethoden (*)Lecture, discussion of homeworks.
Abhaltungssprache Englisch
Literatur (*)Wagner H. Skriptum Stochastische Prozesse und Zeitreihenanalyse

Bailey N.T.J. (1964). The Elements of Stochastic Processes

Lehrinhalte wechselnd? Nein
Äquivalenzen (*)5MSSPKV: KV Stochastische Prozesse und Zeitreihenmodellierung (4 ECTS)
Präsenzlehrveranstaltung
Teilungsziffer 40
Zuteilungsverfahren Zuteilung nach Vorrangzahl