## ST2351: Probability and Theoretical Statistics

Michaelmas Term 2017

Lecturer: Dr. Vladimir Krylov

### Timetable

- Wednesday 3-4pm, Lect. Salmon.
- Friday 1-3pm, LB08.

### Foreword

5 ECTS module corresponds to about 100-125 hours of study time. This includes the several hours of lectures (30+ for undersgrads, 20+ for postgrads) organised on campus that students have to attend. Other sources of information are available to help you (e.g. online ressources such as webpages, videos, MOOCs, and books in TCD libraries). Be creative and independent to build up your skills!

### Module content

Events and probabilities - The laws of probability - Independence and conditional probability - Discrete random variables - Continuous random variables - Multivariate distributions & independence - Moment and characteristic generating functions - The law of averages and the central limit theorem

### Lecturenotes

It is advised to take notes in class. Some past Lecturenotes written by Simon Wilson are available.

### References

- Probability: an Introduction - by Grimmett and Welsh, published by Oxford University Press.
- Introduction to Probability Models - by Ross, published by Academic Press (10th edition).

### Exam/Assessment

- Exam 100%

### After exam results

Read What if I want my examination re-checked? and What if I wish to appeal my results?. Request to see script should be made to the SCSS Teaching Unit ( teaching-unit @ scss.tcd.ie ) with the following information:

- Exam number of the student
- Code of the module (e.g. ST3010)
- Exam session (e.g. Trinity term, Michaelmas term (supplementals))

Please note that marks cannot be changed for any reasons other than those specified in the TCD calendar.