Using the uniform generator xn+1 = 53xn mod 213 (Kruskal 1969), compute pairs of normals via Algorithm A1 and plot the pairs. Do you find anything unusual? Compare Algorithm C2 for the t distribution...

Using the uniform generator xn+1 = 53xn mod 213 (Kruskal 1969), compute pairs of normals via Algorithm A1 and plot the pairs. Do you find anything unusual?

Compare Algorithm C2 for the t distribution and its non-setup version with d = 2e−1/2. Use two scenarios, one where α is constant and another where α changes with each call.