Probability and Statistics Spring 2017

Lecturer:
Prof. Dr. Sara van de Geer, HG G24.1, geer@stat.math.ethz.ch
Coordinator:
Thomas Cayé, HG G47.1, thomas.caye@math.ethz.ch

Lectures take place on Tuesdays 10:15-12:00, and on Fridays 08:15-10:00 in HG G5.

The program will be updated during the semester. Please make sure you have the latest version.

Lecture Date Topics
1Tue 21.02.2017Chapter 1 of AD, Introduction, counting methods
2 Fri 24.02.2017 Chapter 2 of AD, Birthday and matching problem
3 Tue 28.2.2017Chapter 3 of AD, Conditional probability, independence
4Fri 03.03.2017Chapter 3 of AD, Conditional probability, independence
5 Tue 07.03.2017 Chapter 4 of AD, Discrete random variables, mean
6Fri 10.03.2017Chapter 4 of AD variance, moment generating function
7Tue 14.03.2017Chapter 6 of AD, Bernoulli, Poisson
8 Fri 17.03.2017LN Section 3.1, General sample space
9Tue 21.03.2017 Chapter 7 of AD, Continuous random variables
10Fri 24.03.2017Chapter 7 of AD, Mean, variance, moment generating functions
11 Tue 28.03.2017 Chapter 8 and 9 of AD, Uniform distribution, exponential distribution, normal distribution
12 Fri 31.03.2017 Chapter 9 and 10 of AD , Ch. 4 LN, Limit theorems
13Tue 04.04.2017Chapter 11 of AD, Multivariate discrete, conditional expectation
14 Fri 07.04.2017 Chapter 12 of AD, Multivariate continuous, conditional expectation
15Tue 11.04.2017 Chapter 12 of AD, Multivariate continuous, conditional expectation
Fri 14.04.2017 Easter break
Tue 18.04.2017 Easter break
Fri 21.04.2017Easter break
16 Tue 25.04.2017 Chapter 13 of AD, Convolution, transformations
17Fri 28.04.2017Statistics, introduction
18Tue 02.05.2017Statistics, empirical distribution, sample mean, sample variance
19Fri 05.05.2017 Chapter 15 of JR, Bayes estimators
20 Tue 09.05.2017 Chapter 8 of JR, Method of moments
21Fri 12.05.2017Chapter 8 of JR, Maximum likelihood
22Tue 16.05.2017Chapter 8 of JR, Maximum likelihood
23Fri 19.05.2017 Chapter 9 of JR, Hypothesis testing
24Tue 23.05.2017Chapter 9 of JR, Hypothesis testing
25Fri 26.05.2017Chapter 8 of JR, Confidence intervals
26Tue 30.05.2017Chapter 14 of JR, Linear model
27Fri 02.06.201 High-dimensional data

The new exercises will be posted here on Thursdays. We expect you to look at the problems over the weekend and to prepare questions for the exercise class on Tuesdays.

Please hand in your solutions by the following Friday at 12:00 in your assistant's box in front of HG G53.2 (do not disturb people working in the offices around !). Your solutions will usually be corrected and returned in the following exercise class or, if not collected, returned to the box in front of HG G53.2.

Exercise sheet Due by Solutions
Exercise sheet 1 03 March 2017 Solutions 1
Exercise sheet 2 10 March 2017 Solutions 2
Exercise sheet 3 17 March 2017 Solutions 3
Exercise sheet 4 24 March 2017 Solutions 4
Exercise sheet 5 31 March 2017 Solutions 5
Exercise sheet 6 7 April 2017 Solutions 6
Exercise sheet 7 24 April 2017 (Monday !) Solutions 7
Exercise sheet 8 28 April 2017 Solutions 8
Exercise sheet 9 5 May 2017 Solutions 9
Exercise sheet 10 12 May 2017 Solutions 10
Exercise sheet 11 19 May 2017 Solutions 11
Exercise sheet 12 26 May 2017 Solutions 12
Exercise sheet 13 Not due Solutions 13

Students from the Mathematics, Quantitative Finance, Computer Sciences, Chemistry, Engineering departments, you are assigned alphabetically to the classes on Tuesdays. Please hand-in your exercise solutions to your assistant, or in his tray in front of HG G53.2.

Students from Physics, MTEC and UZH, you are assigned to the class on Wednesdays. Please hand-in your exercise solutions to your assistant, or in his tray in front of HG G53.2.

If there are still course collisions, please contact the coordinator.

TimeRoomAssistant
Tu 13-15HG D 3.2Philippe Von WurstembergerAi-Eich
Tu 13-15HG D 5.2Mattia Bacchetta-Cattori Eins-Lan
Tu 13-15HG E 33.5Andrea GabrielliLen-Schl
Tu 13-15HG G 26.3Thomas Cayé Schm-Zh
We 14-16ML F 36Andrea Gabrielli PHYS-MTEC-UZH

A formula sheet will be provided with the exam. This is what it will look like.

A preliminary version of a lecture summary can be found here.

In the probability part we will closely follow the book

For the statistics part, we use some material from

Almost all of the material is covered (sometimes briefly) in the lecture notes

There are also many other excellent books on the subject. Some are