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Course Catalog 01/02


Mathematics

MAM072 Random Processes 6.0 ECTS credits

TIMEPERIOD:


LANGUAGE:English/Swedish

EXAMINER
Reinhold Näslund Univ adj


PREREQUISITES


COURSE AIM
Many physical or economic systems develop in time. This means that the current state of a system does depend on its history, and the future depends on the present state.
Stochastic processes are a mathematical tool for modelling the developement of a system in time.
In this course we will give a survey on/about different stochastic processes and the methods used to investigate them.

CONTENTS
Random variables and functions of random variables. Conditional distributions. Transform methods. Stochastic processes: examples and applications. Markov chains and Markov processes. Poisson processes. Birth- and death processes. Applications on Quee systems.

TEACHING
The teaching consists of of lectures and computer exercises. Some lectures can be replaced by mandatory computer laborations.


EXAMINATION
A written examination at the end of the course.

COURSE GRADE SCALE:

ITEMS/CREDITS
Written exam 6.00ECTS

COURSE LITERATURE
G. Lindgren, T. Rydén: Markovprocesser, kompendium Lunds universitet och Lunds tekniska högskola, 1997 eller senare.
Kompletterande kursmaterial.


Course information from the department: http://www.sm.luth.se/math/education/

Valid for the academic year 01/02.

Web Editor: Karin.Lindholm@dc.luth.se


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LULEÅ UNIVERSITY OF TECHNOLOGY
University Campus, Porsön, 971 87 Luleå. Tel. +46 (0) 920-91 000, fax +46 (0) 920-91 399
Last edited 2001-12-17