On the minimum of gaps generated by one-dimensional random packing-Reference-Cited by-同舟云学术

On the minimum of gaps generated by one-dimensional random packing

Published:1980-03 Issue:1 Volume:17 Page:134-144
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Itoh Yoshiaki

Abstract

Let L(t) be the random variable which represents the minimum of length of gaps generated by random packing of unit intervals into [0, t]. We have with Using this equation the asymptotic behaviour of P(L(x)≧h) is discussed.

Publisher

Cambridge University Press (CUP)

Subject

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

Reference10 articles.

1. On a one-dimensional problem concerning random space-filling;Rényi;Publ. Math. Inst. Hungar. Acad. Sci.,1958

2. On the ‘parking problem’;Dvoretzky;Publ. Math. Inst. Hungar. Acad. Sci.,1964

3. On gaps generated by a random space filling procedure;Bankövi;Publ. Math. Inst. Hungar. Acad. Sci.,1962

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