EPM5014 Probability and distribution theory

When you finish this unit, you should be able to:

1. 1

   Demonstrate an understanding of the meaning and laws of probability.

2. 2

   Recognise common probability distributions and their properties.

3. 3

   Apply calculus-based tools to derive key features of a probability distribution, such as mean and variance.

4. 4

   Manipulate multivariate probability distributions to obtain marginal and conditional distributions.

5. 5

   Obtain mean, variance and the probability distribution of transformations of random variables.

6. 6

   Understand properties of parameter estimators and the usefulness of large sample approximations in statistics.

7. 7

   Appreciate the role of simulation in demonstrating and explaining statistical concepts.