\begin{definition}[Definition:Ordered Statistic]
Let $X_1, X_2, X_3, \ldots, X_N$ be a sequence of $N$ independent random variables chosen from an identical probability space.
Let $X_{(1)},X_{(2)},X_{(3)},\ldots,X_{(N)}$ be these measures re-arranged in increasing order.
Then $X_{(i)}$ is said to be the '''$i$th ordered statistic'''.
Category:Definitions/Probability Theory
\end{definition}