10. (For those familiar with likelihood functions in a general setting).

(i) Simulate 200 observations from an exponential distribution and compute both the likelihood function and the average of the 200 leave-one-out crossvalidation likelihood functions.

(ii) Perform the entire process in part (i) many times (perhaps 500), get a summary of the difference between the likelihood function and the average of the leaveone-

out cross-validation likelihoods over the 500 simulations.

(iii) Explain how this relates to AIC as a cross-validation value.