With reference to Example 10.4, find an unbiased estimator of based on the smallest sample value (that is, on the first order statistic, Y1).

With reference to Example 10.4, find an unbiased estimator of β based on the smallest sample value (that is, on the first order statistic, Y1).
Example 10.4
If X1, X2, . . . , Xn constitute a random sample from a uniform population with α = 0, show that the largest sample value (that is, the nth order statistic, Yn) is a biased estimator of the parameter β. Also, modify this estimator of β to make it unbiased.