Write an acceptance/rejection algorithm for the t distribution using a Cauchy envelope and bounds XXXXXXXXXXCompare setup and non-setup versions as in Exercise 11.7. Consider also the Devroye bound ...

Write an acceptance/rejection algorithm for the t distribution using a Cauchy envelope and bounds (11.3.7). Compare setup and non-setup versions as in Exercise 11.7. Consider also the Devroye bound

                       1 + x2 α −(α+1)/2 ≤  1 +

Prove this inequality and include it in your implementation of the Cauchy algorithm.