Suppose you observe survival data 1,6, 2+, 2.6, 9.2+, 7, where a plus sign means that the observation has been right-censored. Suppose that you believe that the true survival time X; follows the model log X = x + W, where W, has density f(w) = exp(w - e"). Finally, assume that censoring is non-informative. 1. What is the likelihood?

2. What is the maximum likelihood estimator for ?

3. What is the effective sample size for estimating u?

4. What is a good(estimate of the survival function of X?

5. What is a good estimate of the density function of X,?

6. What is a good estimate of the hazard function of X,?

7. What is a good estimate of the median of X ?