Let Y1, Y2, ... Yn denote a random sample from uniform distribution on the interval (0, theta).
let YBAR = sample mean, MAX = sample maximum
Consider:
estimator1 = 2(YBAR)
estimator2 = ([n+1]/n)MAX
Show that both estimators are unbiased estimators of theta.
Find the efficiency of estimator1 relative to estimator2.
Which estimator is preferable? Explain.