Bayes theorem
Bayes theorem
Bayes theorem is a commonly used theorem in statistics. This theorem states that: \[ P(X=1|Y=2)P(Y=2) = P(Y=2|X=1)P(X=1) \] This equality stems from the fact that $P(X=1|Y=2)P(Y=2)$ and $P(Y=2|X=1)P(X=1)$ are just two different ways of writing $P(X=1 \wedge Y=2)$ as you can see by looking at the definition of conditional probability.
Syllabus Aims
- You should understand the derivation of Bayes theorem.
- You should be able to use Bayes theorem to interpret probabilisitc information.
Description and link | Module | Author | ||
| A video introducing Bayes theorem | SOR3012 | G. Tribello |
Description and link | Module | Author | ||
| Problems on Bayes theorem | SOR3012 | G. Tribello |
Contact Details
School of Mathematics and Physics,
Queen's University Belfast,
Belfast,
BT7 1NN
Email: g.tribello@qub.ac.uk
Website: mywebsite