1807 Probability and Statistics (Science Track)
Assoz.Prof. PD Dr. Zehra Eksi-Altay, BSc.MSc.
  • LV-Typ
  • Semesterstunden
  • Unterrichtssprache
23.11.2020 bis 29.11.2020
Anmeldung über LPIS
Hinweise zur LV
Planpunkt(e) Master
Wochentag Datum Uhrzeit Raum
Montag 30.11.2020 14:00 - 16:30 Online-Einheit
Montag 07.12.2020 14:00 - 16:30 Online-Einheit
Donnerstag 10.12.2020 15:00 - 17:00 Online-Einheit
Montag 14.12.2020 14:00 - 16:30 Online-Einheit
Montag 21.12.2020 14:00 - 16:00 Online-Einheit
Montag 11.01.2021 14:00 - 16:30 Online-Einheit
Donnerstag 14.01.2021 16:00 - 18:00 Online-Einheit
Montag 18.01.2021 14:00 - 16:30 Online-Einheit
Donnerstag 21.01.2021 14:30 - 16:30 Online-Einheit
Donnerstag 28.01.2021 15:00 - 17:00 Online-Einheit

Ablauf der LV bei eingeschränktem Campusbetrieb

In case of limited activity on campus the course will take place via Hybrid Mode.

The course will be held in presence for a part of the participants. At the same time, the course is streamed for all students who cannot be on campus. In case the number of students who are eligible and willing to come to the class is more than the number of Covid-19 seats available in the room, we will apply certain rotation rules. Under special circumstances (travel restrictions, health issues) it is also possible for students to participate in the course purely remotely. More detailed information on who is in which group will be communicated before the start of the lecture via Learn or email.

Under the synchronous hybrid mode, there will be in-class teaching together with synchronous streaming.  For the remotely-attending group there will be an opportunity to ask questions during the lecture through MS Teams. Moreover, we encourage the active use of the Forum page at Learn. The weekly tutorials will continue to take place online via MS Teams.

Students are expected to be active in the class (or  online) as well as on the Forum page of the course.  Moreover, students will take part in a group work while working on the homework assignments.

Attendance is still mandatory both online and on campus and can only be suspended or converted to pure online attendance for a valid reason.

The assessment is based on an in-class midterm (40%), homework  assignments (group work) (20%) and an in-class final exam (40%).

Inhalte der LV

This course is a graduate course intended for Economics Masters students. The course aims at building theoretical statistics starting from the basics of probability theory. In particular, the purpose of this course is to give further knowledge in statistics and probability theory which is essential for econometrics and statistical modeling.

Lernergebnisse (Learning Outcomes)

After completing this class successfully the student will have the ability to:

  • define, describe and work with the basic concepts in probability and statistics,
  • use methods and ideas from probability and statistics to solve scientific problems,
  • solve practical problems and interpret the results.

Regelung zur Anwesenheit

Attendance of at least 80% of the classes is necessary to fulfill the requirements.


The course consists of lectures, accompanying homework assignments and one midterm and the final examinations. The lecture part presents the theoretical concepts. There will be 4 homework assignments related to the subjects covered during the lecture. Students are allowed to hand in the assignments as a group of at most three people.

In order to provide students with the necessary support, weekly tutorials will be offered by a tutor.


Leistung(en) für eine Beurteilung

  • 20 % Homework assignments
  • 40 % Midterm Exam
  • 40 % Final Exam

The following grading scale applies:

    90.00-100.00 - Excellent (1)
    77.00-89.00 - Good (2)
    64.00-76.00 - Satisfactory (3)
    51.00-63.00 -  Sufficient (4)
      0.00-50.00 -  Insufficient (5)


1 Autor/in: [CB] Georg Casella and Roger l. Berger
Titel: Statistical Inference

Verlag: Duxbury Press
Auflage: 2nd
Jahr: 2001
Art: Buch
2 Autor/in: M. R. Spiegel, J. J. Schiller, R. A. Srinivasan
Titel: Schaum’s Outlines of Probability and Statistics

Verlag: McGraw-Hill
Auflage: 3rd ed. ISBN 978-0-07-154425-2
Anmerkungen: Chapter 1-4
Jahr: 2009
3 Autor/in: J. A. Rice
Titel: Mathematical Statistics and Data Analysis

Verlag: Wadsworth&Brooks/Cole ISBN 0-534-08247-5
Anmerkungen: Chapter 1-5
Jahr: 1988

Teilnahmevoraussetzung(en) und Vergabe von Wartelistenplätzen

Familiarity with mathematical concepts such as basic set theory, convergence of sequences and functions, continuity, linear maps and matrices, definite and indefinite integral, differentiation, and Taylor polynomial series is expected. Knowledge in basic probability theory and statistics is desirable.

Erreichbarkeit des/der Vortragenden

Detailinformationen zu einzelnen Lehrveranstaltungseinheiten

Einheit Datum Inhalte

Basics of probability theory


Conditional probability and independence; Random variables


Distribution functions; Density and mass fuctions


Transformations of random variables , Expectation,  Moments and moment generating functions.


Discrete distributions; Continuous distributions


Midterm Exam


Multivariate distributions, joint and marginal distributions.  


Conditional Distributions and Expectations. Independent random variables. Covariance and correlation


Probability Inequalities; Numerical Inequalities; Functional Inequalities


Convergence concepts; Law of large numbers, Central limit theorem.


Final Exam


Zuletzt bearbeitet: 11.09.2020