Probability and Statistics Spring 2025

Lecturer
Prof. Dr. Dylan Possamaï (dylan.possamai(AT)math.ethz.ch)
Coordinator
Daniel Kršek (daniel.krsek(AT)math.ethz.ch)
Lectures
Wed 10:15 ML D 28
Exercise Classes

Exercise classes begin in the second week of the semester.

Mon 16:15 CHN D 42 Nicolas Hotton Tue 14:15 CAB G 56 Daniel Kršek
Mon 16:15 HG G 26.3 Andrei Tugulea Tue 14:15 CHN D 44 Nicolas Hotton
Mon 16:15 IFW C 31 Georgia Hadjipanayiotou Tue 14:15 ETZ F 91 Georgia Hadjipanayiotou
Mon 16:15 IFW C 33 Yanik Künzi Tue 14:15 ETZ G 91 Yanik Künzi
Mon 16:15 ML F 34 Sangbeom Park Tue 14:15 HG E 33.1 Sangbeom Park
Tue 14:15 NO E 39 Andrei Tugulea

Exam

Content

Lecture notes

Part I - Probability : English, German
Part II - Statistics : German

Probability space, Probability measure, Random variables, Distributions, Densities, Independence, Conditional probabilities, Expectation, Variance, Covariance, Law of large numbers, Central limit theorem, Large deviations, Chernoff bounds, Maximum likelihood estimator, Method of moments estimator, Tests, Neyman-Pearson lemma, Confidence intervals

Office hours

The assistants of Group 3 hold regular office hours to help with exercises and lecture content from courses taught by the professors in the group. Click here for more information.

Exercises

Even though it is not obligatory, you are strongly encouraged to solve the exercises and hand in your solutions since similar assignments may be a part of the exam. If you decide to do so, please submit your solutions before 18:00 of the corresponding due date. They will then be corrected and returned.

Please note that you must be enrolled in an exercise group in myStudies to submit your solutions! For submission via SAMup, you need your nethz login. For security reasons, you must also access the SAMup link via a VPN connection unless connected to the ETH WLAN. If you encounter any problems with the online submission, please contact your exercise instructor. If a correction has been uploaded to your solution, a green banner will appear. An illustration of how SAMup works can be found here.

IMPORTANT: Only one exercise of your choice will be corrected by the assistants each week. If you submit multiple exercises without clearly indicating which one should be corrected, the assistant will choose at their discretion.

Please upload your solutions as a single PDF file using the following link:  


Week Exercise Sheet Due Date Solutions Lecture (*)
1 - - - I: Chap. 1, Sec. 1-3
2 Exercise sheet 1 February 28 at 18:00 Solutions 1 I: Chap. 1, Sec. 4-5
3 Exercise sheet 2 March 7 at 18:00 Solutions 2 I: Chap. 1, Sec. 6 & Chap. 2, Sec. 1-2
4 Exercise sheet 3 March 14 at 18:00 Solutions 3 I: Chap. 2, Sec. 3-4
5 Exercise sheet 4 March 21 at 18:00 Solutions 4 I: Chap. 2, Sec. 5 & Chap. 3, Sec. 1-3
6 Exercise sheet 5 March 28 at 18:00 Solutions 5 I: Chap. 3, Sec. 4-6 & Chap. 4, Sec. 1
7 Exercise sheet 6 April 4 at 18:00 ... ...
8 ... April 11 at 18:00 ... ...
... ... ... ... ...
(*) The indicated material covered in lectures is for informational purposes only and may not strictly correspond to the lecture content.