Solution
= Solution
It is inadmissible. For $cX_{(n)}$, the risk is $c^2n/(n+2)-2cn/(n+1)+1$, minimized by $c=(n+2)/(n+1)$ with risk $1/(n+1)^2$, strictly smaller for every $\theta$.
= Solution
It is inadmissible. For $cX_{(n)}$, the risk is $c^2n/(n+2)-2cn/(n+1)+1$, minimized by $c=(n+2)/(n+1)$ with risk $1/(n+1)^2$, strictly smaller for every $\theta$.