On a Class of Problems Related to the Random Division of an Interval
On a Class of Problems Related to the Random Division of an Interval
Let $X_1, X_2, \cdots, X_n$ be $n$ independent random variables each distributed uniformly over the interval (0, 1), and let $Y_0, Y_1, \cdots, Y_n$ be the respective lengths of the $n + 1$ segments into which the unit interval is divided by the $\{X_i\}$. A fairly wide class of statistical …