Course Description

Course Name

Probability and Inference 1

Session: VDNS3121

Hours & Credits

18 Credit Points

Prerequisites & Language Level

Taught In English

  • There is no language prerequisite for courses at this language level.

Overview

An introduction to probability theory and mathematical statistics. Probability, random variables, sampling distributions, estimation, hypothesis testing, simulation.

In the first year, Statistics papers emphasise the methods of statistics: which techniques and tests are applied in which situations. In this paper, you will learn some of the theory and mathematics behind those methods. This is important because you will:

  • Better understand where those standard methods come from and why they are used
  • Learn how to conduct analyses and design statistical methods for the many cases in which the 'standard' toolbox is inadequate

Modern statistics is a dynamic and rapidly changing subject. If you are going to keep up with the changes and advances in statistical theory and methodology, you will need a good grounding in mathematical statistics and probability theory.

Course Structure
Main topics:

  • Introduction to probability
  • Random variables and distributions
  • Expectation and variance
  • Transformations of random variables
  • Statistical models
  • Estimators and likelihood
  • Confidence intervals and hypothesis testing
  • Bayesian inference

Learning Outcomes
Students who successfully complete the paper will develop an ability to conduct analyses and design statistical methods for cases in which the 'standard' toolbox is inadequate

*Course content subject to change