Let be i.i.d. uniform on (0,1) random variables and define Si,n
1,n–1, i = 1, · ··, n where the Ui
–n–1 are the order statistics from a sample of size n – 1 and U
0,n–1 =0 and Un,n–
1 = 1. The Si,n
are called the spacings divided by U
1. For a fixed integer l, set . Exact and weak limit results are obtained for the Ml,n. Further we show that with probability 1
This extends results of Cheng.