# 107.A01 Measure and Probability Theory I This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_20",{id:"j_id_20",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2021S 2020S 2019S 2018S 2017S 2016S 2015S 2014S 2013S 2012S 2011S

2013S, VO, 3.0h, 4.5EC

## Properties

• Semester hours: 3.0
• Credits: 4.5
• Type: VO Lecture

## Aim of course

To get acquainted with the basic terms and concepts of measure- and probability theory and to be able to apply this knowledge in problem solving

## Subject of course

Probabilty Spaces, distributions, measure theoretic foundations of probability theory, independence and conditional probability, distribution functions,random variables, Lebesgue-Stieltjes-integral and expectation, comparison of Riemann and Lebesgue-integral

## Course dates

DayTimeDateLocationDescription
Wed10:15 - 11:1506.03.2013 - 26.06.2013FH 8 Nöbauer HS - MATH Kusolitsch
Thu10:00 - 12:0007.03.2013 - 27.06.2013FH 8 Nöbauer HS - MATH Kusolitsch
Measure and Probability Theory I - Single appointments
DayDateTimeLocationDescription
Wed06.03.201310:15 - 11:15FH 8 Nöbauer HS - MATH Kusolitsch
Thu07.03.201310:00 - 12:00FH 8 Nöbauer HS - MATH Kusolitsch
Wed13.03.201310:15 - 11:15FH 8 Nöbauer HS - MATH Kusolitsch
Thu14.03.201310:00 - 12:00FH 8 Nöbauer HS - MATH Kusolitsch
Wed20.03.201310:15 - 11:15FH 8 Nöbauer HS - MATH Kusolitsch
Thu21.03.201310:00 - 12:00FH 8 Nöbauer HS - MATH Kusolitsch
Thu28.03.201310:00 - 12:00FH 8 Nöbauer HS - MATH Kusolitsch
Thu04.04.201310:00 - 12:00FH 8 Nöbauer HS - MATH Kusolitsch
Wed10.04.201310:15 - 11:15FH 8 Nöbauer HS - MATH Kusolitsch
Thu11.04.201310:00 - 12:00FH 8 Nöbauer HS - MATH Kusolitsch
Wed17.04.201310:15 - 11:15FH 8 Nöbauer HS - MATH Kusolitsch
Thu18.04.201310:00 - 12:00FH 8 Nöbauer HS - MATH Kusolitsch
Wed24.04.201310:15 - 11:15FH 8 Nöbauer HS - MATH Kusolitsch
Thu25.04.201310:00 - 12:00FH 8 Nöbauer HS - MATH Kusolitsch
Thu02.05.201310:00 - 12:00FH 8 Nöbauer HS - MATH Kusolitsch
Wed08.05.201310:15 - 11:15FH 8 Nöbauer HS - MATH Kusolitsch
Thu09.05.201310:00 - 12:00FH 8 Nöbauer HS - MATH Kusolitsch
Wed15.05.201310:15 - 11:15FH 8 Nöbauer HS - MATH Kusolitsch
Thu16.05.201310:00 - 12:00FH 8 Nöbauer HS - MATH Kusolitsch
Wed22.05.201310:15 - 11:15FH 8 Nöbauer HS - MATH Kusolitsch

## Examination modalities

written and oral exam

Not necessary

## Literature

illingsley, P.: Probability and Measure, Wiley, New York, 1986.

Elstrodt, J.:  Mass- und Integrationstheorie, Springer, Berlin, 2005.

Feller, W.:  An Introduction to Probability Theory and its Applications, Vol.1 and 2 Wiley, New York, 1968.

Galambos, J., Introductory Probability Theory, Marcel Dekker, New York, 1984

Georgii, H.O.,: Stochastik, de Gruyter, Berlin, 2002

Isaac, R., : The Pleasures of Probability, Springer, New York,1995

Kusolitsch, N., : Mass- und Wahrscheinlichkeitstheorie, Springer, Wien, 2011