Uniform order statistic
= Uniform order statistic
For independent uniform random variables $U_1,\ldots,U_n$ on $[0,1]$, the $j$th order statistic has distribution $\operatorname{Beta}(j,n-j+1)$ and mean $j/(n+1)$.
= Uniform order statistic
For independent uniform random variables $U_1,\ldots,U_n$ on $[0,1]$, the $j$th order statistic has distribution $\operatorname{Beta}(j,n-j+1)$ and mean $j/(n+1)$.