# 107.A08 Measure and Probability Theory 2 This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",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_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2023W 2022W 2021W 2020W 2019W 2018W 2017W 2016W 2015W 2014W 2013W 2012W 2011W

2023W, VO, 3.0h, 4.5EC

## Properties

• Semester hours: 3.0
• Credits: 4.5
• Type: VO Lecture
• LectureTube course
• Format: Hybrid

## Learning outcomes

After successful completion of the course, students are able to explain important theorems and definitions from the topics listed below and to apply the methods of the field to solving selected problems.

## Subject of course

Signed measures , Radon-Nikodym theorem, Lebesgue spaces, product spaces, transformation theorems, zero-one laws, conevrgence in distribution, central limit theorem, large deviations, law of the iterated logarithm, martingales

Lecture

Written and oral

## Course dates

DayTimeDateLocationDescription
Tue13:00 - 15:0003.10.2023 - 23.01.2024FH 8 Nöbauer HS - MATH VO 107.A08
Thu12:00 - 14:0005.10.2023 - 25.01.2024FH 8 Nöbauer HS - MATH VO 107.A08
Measure and Probability Theory 2 - Single appointments
DayDateTimeLocationDescription
Tue03.10.202313:00 - 15:00FH 8 Nöbauer HS - MATH VO 107.A08
Thu05.10.202312:00 - 14:00FH 8 Nöbauer HS - MATH VO 107.A08
Tue10.10.202313:00 - 15:00FH 8 Nöbauer HS - MATH VO 107.A08
Thu12.10.202312:00 - 14:00FH 8 Nöbauer HS - MATH VO 107.A08
Tue17.10.202313:00 - 15:00FH 8 Nöbauer HS - MATH VO 107.A08
Thu19.10.202312:00 - 14:00FH 8 Nöbauer HS - MATH VO 107.A08
Tue24.10.202313:00 - 15:00FH 8 Nöbauer HS - MATH VO 107.A08
Tue31.10.202313:00 - 15:00FH 8 Nöbauer HS - MATH VO 107.A08
Tue07.11.202313:00 - 15:00FH 8 Nöbauer HS - MATH VO 107.A08
Thu09.11.202312:00 - 14:00FH 8 Nöbauer HS - MATH VO 107.A08
Tue14.11.202313:00 - 15:00FH 8 Nöbauer HS - MATH VO 107.A08
Thu16.11.202312:00 - 14:00FH 8 Nöbauer HS - MATH VO 107.A08
Tue21.11.202313:00 - 15:00FH 8 Nöbauer HS - MATH VO 107.A08
Thu23.11.202312:00 - 14:00FH 8 Nöbauer HS - MATH VO 107.A08
Tue28.11.202313:00 - 15:00FH 8 Nöbauer HS - MATH VO 107.A08
Thu30.11.202312:00 - 14:00FH 8 Nöbauer HS - MATH VO 107.A08
Tue05.12.202313:00 - 15:00FH 8 Nöbauer HS - MATH VO 107.A08
Thu07.12.202312:00 - 14:00FH 8 Nöbauer HS - MATH VO 107.A08
Tue12.12.202313:00 - 15:00FH 8 Nöbauer HS - MATH VO 107.A08
Thu14.12.202312:00 - 14:00FH 8 Nöbauer HS - MATH VO 107.A08

## Examination modalities

written and oral exam;

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Wed16:00 - 18:0013.03.2024FH Hörsaal 5 - TPH written10.02.2024 19:00 - 11.03.2024 23:59TISSMW 2 Grill 03/24
Wed18:00 - 20:0024.04.2024FH 8 Nöbauer HS - MATH written10.02.2024 19:00 - 22.04.2024 23:59TISSMW2 Grill 04/24
Wed14:00 - 16:0026.06.2024FH 8 Nöbauer HS - MATH written10.02.2024 19:00 - 24.06.2024 23:59TISSMW2 Grill 06/24

## Course registration

Use Group Registration to register.

## Curricula

Study CodeObligationSemesterPrecon.Info
033 201 Technical Mathematics Mandatory3. Semester
033 203 Statistics and Mathematics in Economics Mandatory3. Semester
033 205 Financial and Actuarial Mathematics Mandatory3. Semester

## Literature

Kusolitsch: Maß- und Wahrscheinlichkeitstheorie, Springer, Ash: Probability and Measure Theory, Academic Press Billingsley: Probability and Measure, Wiley Capinski-Kopp: Measure,Integral and Probability, Springer Elstrodt: Maß- Integrationstheorie, Springer Halmos: Measure Theory, Springer

German