### ST3009: Statistical Methods for Computer Science 2018-19

Lectures: Weds 3-5pm LB01
Tutorials: Weds 1-2pm LG12
Lecturer: Doug Leith
Tutorial Assistants: Goksu Yamac

Quick survey

The module is a first course in probability and statistics that only assumes basic mathematical (algebra, sets) and programming (we'll use matlab) knowledge. The aim is to take students to the point where they have the foundation needed for understanding machine learning techniques (and so for a follow on module on machine learning or to read an introductory book), performance analysis of computer systems etc.

The module is divided into four parts (each roughly three weeks long) and the topics covered in each part are summarised here.

Assessment is 70% final exam, 20% mid-term exam (held directly after reading week) and 10% marked weekly questions.

 Week 1 Counting. Slides. Permutations. Slides. Matlab Lab handout. Test questions. Solutions. More test questions. Solution checker. Solutions. Weekly Questions. Solution checker Week 2 Axioms of Probability. Slides. Algebra revision. Slides. Conditional Probability and Bayes Theorem. Slides. Test questions. Solutions. More test questions. Solution checker. Solutions. Weekly Questions. Solution checker Week 3 Independence. Slides. Review. Slides. Test questions. Solutions. More test questions. Solution checker. Solutions. Weekly Questions. Solution checker Week 4 Random Variables. Slides. Bernoulli and Binomial RVs. Slides. Test questions. Solutions. More test questions. Solution checker. Solutions. Weekly Questions. Solution checker Week 5 Mean and Variance. Slides. Correlation and Conditional Expectation. Slides. Test questions. Solutions. More test questions. Solution checker. Solutions. Weekly Questions. Solution checker Week 6 Review. Slides. Week 7 Week 8 Inequalities. Slides. Sample mean, Weak law of large numbers and CLT. Slides. Test questions. Solutions. More test questions. Solution checker. Solutions. Week 9 Confidence Intervals. Slides. Continuous random variables. Slides. Test questions. Solutions. More test questions. Solution checker. Solutions. Even more test questions. Solution checker. Solutions. Week 10 Linear Regression 1. Slides. Linear Regression 2. Slides. Test questions. Solutions. More test questions. Solution checker. Solutions. Week 11 Logistic Regression. Slides. Test questions. Solutions. Week 12