Syllabus 2016-17

Probability

• Probability spaces, random variables, independence
• Probability distributions for statistical modelling
• The central limit theorem

Statistics

• Sufficient statistics and the factorization theorem
• Maximum likelihood estimators
• Interval estimation
• Hypothesis testing and p-values
• The Neman-Pearson Lemma
• Regression
• Bayesian Statistics

Data Analysis

• Preprocessing
• Exploratory data analysis: summary statistics, histograms, scatterplots, correlations, common data transformations

Books

• Casella R. and Berger R. L. (2002) Statistical Inference (2nd ed.); Duxbury.
• simpleR Verzani
• Grinstead and Snell's Introduction to Probability
• Adam Johansen: Fundamentals of Statistics

Software

• http://www.rstudio.com/
• http://www.r-project.org/

Key dates

Assignment 1 due 20/10/2016.
Assignment 2 due 31/10/2016.
90 minute class test 31/10/2016 2pm.
Vivas 3/11/2016 (10 am and 2pm).

Course details for 2016/17

Sessions

Monday 3/10: Lab1.pdf

Thursday 6/10: Lab2.pdf

Monday 10/10:

Thursday 13/10:

Monday 17/10:

Thursday 20/10

Monday 24/10

Thursday 27/10

Monday 31/10