Perspectives on Randomness in Statistics
Welcome to the course website for the EDMA PhD course MATH-705, Perspectives on Randomness in Statistics. All relevant information and materials are collected and will be updated on this page.
- Location: EPFL, CM1 113
- Time: 10.00 - 11.30
- Email: tobias [dot] freidling [at] epfl [dot] ch
Description
In this weekly course, we read and discuss different papers that examine how randomness is conceptualized in statistics. There are two presentation formats: (1) We directly examine the reading material and different people can lead the discussion with their comments, questions, and opinions; (2) one of the participants starts the session with a 20-minute presentation introducing the main points and subsequently leading the discussion. See the schedule below for details about the topics and presentations. Regardless of the presentation format, participants are expected to read the material before the session.
Free auditors are always welcome. :)
Schedule
| Date | Topic | Presentation |
|---|---|---|
| Sep 23 | Randomness, Philosophically | Reading group |
| Sep 30 | Randomness, Probabilistically | Reading group |
| Oct 07 | The Bayesian Perspective | Maxence |
| Oct 14 | The Frequentist Perspective | Gellért |
| Oct 21 | No course (semester break) | |
| Oct 28 | Finite and Infinite Populations I | Emi |
| Nov 04 | No course | |
| Nov 11 | Finite and Infinite Populations II | Gellért |
| Nov 18 | Sampling with and without Replacement | Tobias |
| Nov 25 | Modelling in Survey Statistics | Maxence |
| Dec 02 | Finite Populations in Causal Inference | Emi |
| Dec 09 | Generalizability and Transportability | Reading group |
| Dec 16 | By popular demand |
Reading Materials
Randomness, Philosophically
- Stanford Encyclopedia of Philosophy: Interpretations of Probability
Randomness, Probabilistically
- Shafer, G. and Vovk, V. (2006) ‘The Sources of Kolmogorov’s Grundbegriffe’, Statistical Science, 21(1), pp. 70–98. link
- von Mises, R. (1941) ‘On the Foundations of Probability and Statistics’, The Annals of Mathematical Statistics, 12(2), pp. 191–205. link
- van Lambalgen, M. (1996) ‘Randomness and foundations of probability: von Mises’ axiomatisation of random sequences’, Statistics, probability and game theory. Institute of Mathematical Statistics, pp. 347–368. link
The remaining material will be added soon