%0 Journal Article %T On the weak limit law of the maximal uniform k-spacing %A Aleksandar Mijatovi£¿ %A Vladislav Vysotsky %J Mathematics %D 2015 %I arXiv %X This paper gives a simple proof of a limit theorem for the lenght of the largest interval straddling a fixed number of i.i.d. points uniformly disributed on a unit interval. The key step in our argument is a classical theorem of Watson (1954) on the maxima of m-dependent stationary stochastic sequences. %U http://arxiv.org/abs/1508.00944v1