Spacings (that is, the differences between successive order statistics) are useful in various applications in statistics. Many properties of the spacing are known when the spacings are constructed ...

Let X1, X2, ⋯, Xn be n independent random variables each distributed uniformly over the interval (0, 1), and let Y0, Y1, ⋯, Yn be the respective lengths of the n + 1 segments into which the unit ...