# E5. To be completed after lesson 17¶

## Exercise 5.1¶

Why is the number of effective independent samples made by a MCMC chain usually less than the total number of MCMC samples?

## Exercise 5.2¶

How can locations of divergences be used to diagnose potential problems with the sampler?

## Exercise 5.3¶

Are you ever guaranteed to properly sample a distribution with a finite number of MCMC steps? If you answered yes, you can stop. If you answered no, explain how this underscores the need for extensive diagnostics.

## Exercise 5.4¶

Did you read the solutions to homework 4?

## Exercise 5.5¶

Write down any questions you may have.