Descending order statistics ($V_{[1]}\ge \cdots \ge V_{[n]}$)

Descending order statistics list a sample from greatest to least. If $V_{(1)}\le \cdots \le V_{(n)}$ uses the usual increasing convention, then $V_{[k]}=V_{(n-k+1)}$. This notation distinguishes the next-highest value used by revenue equivalence from the second-smallest sample value.