2.2 What do we do?

Here, we explore the development, proof, and limitations of Jeffreys priors.

We will cover:

Theoretical Background

1. Notation of Jeffreys Prior

2. Improper Prior

3. Fisher Information

 

Jeffreys Prior and, hopefully, some nice graphs!

1. Some attributes of Jeffreys Prior

2. Invariance to parametrization

3. Binomial example \(X \sim Bin(n,p)\) and its Jeffreys Prior \(Beta \sim \left(\frac{1}{2},\frac{1}{2} \right)\)

4. Normal example \(X \sim N(\mu,\sigma^2)\) and its Jeffreys Prior

5. Limitations of Jeffreys priors