Fiches de cours 2017-2018

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Applied stochastic processes

MATH-332

Enseignant(s) :

Hautphenne Sophie Myriam
Hurth Tobias

Langue:

English

Summary

This course introduces the theory of stochastic processes including Markov chains in discrete and continuous time, Poisson processes, and renewal processes. The use of these processes is illustrated in various areas of applications.

Content

Stochastic processes occur in finance as models for asset prices, in telecommunications as models for data traffic, in computational biology as hidden Markov models for gene structure, in chemistry as models for reactions, in manufacturing as models for assembly and inventory processes, in biology as models for the growth and dispersion of plant and animal populations, in speech pathology and speech recognition and many other areas. 

This course introduces the theory of stochastic processes including Markov chains in discrete and continuous time, Poisson processes, and renewal processes. These processes are illustrated using examples from real-life situations. It then considers important applications in areas such as biology and genetics, queues and queueing networks (the foundation of telecommunication models), as well as in Bayesian statistics through the Markov chain Monte Carlo method.

 

Keywords

discrete-time Markov chain, continuous-time Markov chain, stationary distribution, Poisson process, renewal process, branching process, epidemic process, queueing models, Markov chain Monte Carlo.

Learning Outcomes

By the end of the course, the student must be able to:

Assessment methods

Written exam

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés

Resources

Bibliography

Dans les plans d'études

Semaine de référence

 LuMaMeJeVe
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
En construction
 
      Cours
      Exercice, TP
      Projet, autre

légende

  • Semestre d'automne
  • Session d'hiver
  • Semestre de printemps
  • Session d'été
  • Cours en français
  • Cours en anglais
  • Cours en allemand