Student Probability Seminar, Purdue University
Thursdays in HAAS G066 from 3:30-4:20pm, unless otherwise noted.
The goal of this seminar is for students (and the occasional professor) to give introductions to various areas of probability or important concepts in probability. The talks should be accessible to anyone who has any graduate-level background in probability. Talks are done with chalk and last 50 minutes. Questions are encouraged during and after the talks.
Date |
Speaker |
Title |
|---|---|---|
Date |
Speaker |
Title |
| 10/15/2020 | Daniel Slonim |
Skorokhod's Representation Theorem
Abstract
I'm fond of Skorokhod's Representation Theorem, and it doesn't get talked about much. It says that for any sequence of random variables $X_1,X_2,\ldots$ that converges in distribution to a random variable $X$, there is a probability space on which are defined $Y_1,Y_2,\ldots$, where each $Y_i$ is equal in distribution to $X_i$, and $Y_n$ converges almost surely to $Y$, which is equal in distribution to $X$. In this way, it is a weak converse to the statement that almost-sure convergence implies convergence in distribution, and it allows, for example,
|
| 10/22/2020 | Otávio Menezes |
TBA
Abstract
Abstract here
|
| 10/29/2020 | Tim Rolling |
TBA
Abstract
Abstract here
|
| 11/5/2020 | Christopher Janjigian |
TBA
Abstract
Abstract here
|
| 11/12/2020 | TBA |
TBA
Abstract
Abstract here
|
| 11/19/2020 | Warren Katz |
TBA
Abstract
Abstract here
|
| 12/3/2020 | Hengrong Du |
TBA
Abstract
Abstract here
|