Instructor

Will Perkins

* w.f.perkins@bham.ac.uk*

Office: Watson 211

Office Hours: Thursdays 10:00am-11:30am, or by appointment

Course Information
#### Main Topics of the Course:

- The statistical method
- Descriptive statistics
- Statistical inference
- Probabilistic models
- Big data vs small

- Probability theory
- Independence and conditioning
- Random variables and vectors
- Expectation and variance
- Conditional expectation

- Probabilistic methods
- First moment method
- Second moment method

- Limit theorems
- Convergence of random variables
- The Law of Large Numbers
- The Central Limit Theorem

- Probabilistic models
- Random walks and stochastic processes
- Random graphs

References

Schedule

- Sep 26 Aims and methods of statistics
- Sep 28 Descriptive statistics
- Oct 3 Probabilistic models for data
- Oct 5 Outcomes, events, and probability
- Oct 10Inclusion, exclusion
Examples class

- Oct 12Independence and conditioning
Problem sheet 1 due

- Oct 17Discrete random variables
- Oct 19 Political polling
- Oct 24 Continuous random variables
Examples class

- Oct 26Random vectors
Problem sheet 2 due

- Oct 31 Class Test
- Nov 2Expectation
- Nov 7 Variance
Examples class

- Nov 9Covariance matrices
Problem sheet 3 due

- Nov 14Second moment method
- Nov 16Law of Large Numbers
- Nov 21Convergence of random variables
Examples class

- Nov 23 Central Limit Theorem
- Nov 28Class Test
- Nov 30Medical testing
Problem sheet 4 due

- Dec 5 Random walks
Examples class

- Dec 7 Review class