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arXiv · 1508.00944

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

Aleksandar Mijatović·Vladislav Vysotsky
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Abstract

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.

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Aleksandar Mijatović, Vladislav Vysotsky. 2015-08-05. On the weak limit law of the maximal uniform k-spacing. https://arxiv.org/abs/1508.00944

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