- Author
-
Chris A.J. Klaassen
J. Theo Runnenburg - Year
- 2001
- Title
- Discrete Spacings
- Publisher
- s.n.
- Document type
- Working paper
- Faculty
- Faculty of Science (FNWI)
- Institute
- Korteweg-de Vries Institute for Mathematics (KdVI)
- Abstract
- Consider a string of n positions, i.e. a discrete string of length n. Units of length k are placed at random on this string in such a way that they do not overlap, and as often as possible, i.e. until all spacings between neighboring units have length less than k. When centered and scaled by n^{-1/2} the resulting numbers of spacings of length 1, 2,..,k-1 have simultaneously a limiting normal distribution as n tends to infinity. This is proved by the classical method of moments.
- Language
- Undefined/Unknown
- Persistent Identifier
- https://hdl.handle.net/11245/1.418831
- Downloads
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