Chapter 9.5, Problem 63E

a.

To determine

Prove that the probability density function of $Y_{\left(n\right)}$ is as follows:

$f_{\left(n\right)}\left(y\right)=\{\begin{array}{l}\frac{3n{y}^{3n-1}}{{\theta }^{3n}}\text{ ; }0\le y\le \theta ,\\ 0\text{ ; Elsewhere}\text{.}\end{array}$.

b.

To determine

Obtain an MVUE of θ.