On multiple covering of a circle with random arcs
- 1 March 1980
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 17 (01) , 284-290
- https://doi.org/10.1017/s0021900200047045
Abstract
On a circle of unit circumference arcs of length a are placed at random. Let N α be equal to the necessary number of arcs to cover at least the length 1 − p, 0 ≦ p < 1, of the circumference at least m (≧1) times. In the present paper limit distributions of Nα are derived when α → 0. Some results for spacings are also obtained.Keywords
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