Statistics 100A: Introduction to Probability Theory
- First lecture is on Monday, 03 August 2015.
Location: MS 4000A.
Day/time: MW 10:00 - 11:50.
See you then!
For the course syllabus click
here.
Useful links:
For some of the labs you will need to access the Statistics Online Computational Resource (SOCR) at:
http://www.socr.ucla.edu
It's online, therefore it exists!
The labs are listed under the following link (instructions will be given as to which lab is due when etc. - mainly distributions and experiments activities):
http://wiki.stat.ucla.edu/socr/index.php/SOCR_EduMaterials
Download R and packages.
Labs
Handouts
1. Introduction to combinatorics.
2. Probability.
3. Practice exam.
4. Practice exam.
5. Practice exam.
6. Practice exam.
7. Discrete random variables.
8. Discrete random variables examples - solutions.
9. Discrete probability distributions.
10. Solutions to some problems of handout #2 (probability).
11. Solutions to some problems of handout #9 (discrete probabiltiy distributions).
12. Continuous probability
distributions.
13. Poisson, Exponential, and Gamma distributions.
14. Normal distribution.
15. Distributions - summary.
16. Moment generating functions.
17. Practice exam - solutions.
18. Joint probability distributions.
19. Covariance and correlation.
20. Portfolio theory - example using R.
21. Central limit theorem - proof.
22. Central limit theorem - summary.
23. Central limit theorem - examples.
Homework
Homework 1: Due on Monday, 10 August.
Homework 2: Due on Wednesday, 12 August.
Homework 3: Due on Wednesday, 19 August.
Homework 4: Due on Monday, 24 August.
Homework 5: Due on Monday, 31 August.
Homework 6: Due on Wednesday, 09 September.
Homework 7: Due on Wednesday, 09 September.
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