On multiple covering of a circle with random arcs-Reference-Cited by-同舟云学术

On multiple covering of a circle with random arcs

Published:1980-03 Issue:01 Volume:17 Page:284-290
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:J. Appl. Probab.

Author:

Holst Lars

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.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference11 articles.

1. A limit theorem for random coverings of a circle which do not quite cover

2. Two Applications of a Poisson Approximation for Dependent Events

3. Random coverings

4. A limit theorem for random coverings of a circle

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