Here is a question I am struggling to understand,
Let Y1, Y2, ....... Yn denote a random sample from the uniform distribution on the interval (0, Θ). Prove the unbiased estimators for Θ are Θ1 = 2Ybar (Sorry dont know how to make the symbol) and Θ2 = (n+1)/n Y(n) (Where Y(n) = max (Y1, Y2, .....Yn)
I understand how to prove Θ1 is unbiased
E(2*(Ybar)) = 2(E(Ybar)) = 2(Θ/2) = Θ
However I am not too sure what to do for Θ. How does Y(n) affect things ? I guessing it some how produces n/n+1.