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Laurea in Matematica Applicata

Stochastic systems (2012/2013)

Course code 4S00254  
Credits 6  
Coordinator Laura Maria Morato
Disciplinary sector MAT/06 - Probability and statistical mathematics
Teaching language Italian
Web page http://profs.sci.univr.it/~caliari/teaching.htm#SS1213
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Teaching is organised as follows:

Activity Credits Period Academic staff
Teoria 5 I semestre Laura Maria Morato
Esercitazioni 1 I semestre Marco Caliari

Lecture timetable

I semestre
Activity day Time Type Place Note
Teoria Monday 2:30 PM - 4:30 PM lesson Lecture theatre G  
Teoria Friday 2:30 PM - 4:30 PM lesson Lecture theatre G  
Esercitazioni Friday 9:30 AM - 11:30 AM practice session Didactic workshop Alfa  

Educational objectives

Mathematical modeling and computer simulation of stochastic systems with discrete state space.

Syllabus

1) Construction, simulation and asymptotic behaviour for Discrete time Markov chains, Renewal processes and Continous time Markov chains.

2) Martingales related to discrete time Markov Chains

3) Approximation and computation of invariant probabilities, Metropolis algorithm, simulation of queues and renewal processes with the use of Matlab.

Exam methods

Oral exam,including a discussion of the solution (implementation and obtained results) of the obligatory exercises assigned as homework during the laboratory activities.


Teaching aids 
Activity Title Format (Language, Size, Publication date)
Esercitazioni Dispensa  pdf pdf (it, 241.249 KB, 9/25/12)

Statistics on students' past performance (Art. 2 del D.M. 31/10/2007, n. 544)

Data from AA 2012/2013 are not available yet