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On the weak limit law of the maximal uniform k-spacing
Part of
Aleksandar Mijatović, Vladislav Vysotsky
Journal:

Advances in Applied Probability / Volume 48 / Issue A / July 2016

Published online by Cambridge University Press:

25 July 2016, pp. 235-238

Print publication:

July 2016
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In this paper we give a simple proof of a limit theorem for the length of the largest interval straddling a fixed number of points that are independent and uniformly distributed on a unit interval. The key step in our argument is a classical theorem of Watson on the maxima of m-dependent stationary stochastic sequences.

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On the weak limit law of the maximal uniform k-spacing