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On the weak limit law of the maximal uniform k-spacing
Published online by Cambridge University Press: 25 July 2016
Abstract
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.
MSC classification
- Type
- Research Article
- Information
- Advances in Applied Probability , Volume 48 , Issue A: Probability, Analysis and Number Theory , July 2016 , pp. 235 - 238
- Copyright
- Copyright © Applied Probability Trust 2016
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