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

Authors :
Yoshiaki Itoh
Source :
Journal of Applied Probability. 17:134-144
Publication Year :
1980
Publisher :
Cambridge University Press (CUP), 1980.

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, tJ. We have P(L(x +1) h)' P(L(y)>h)P(L(x y)?h)dy xo with 0 for 0-x

Details

ISSN :
14756072 and 00219002
Volume :
17
Database :
OpenAIRE
Journal :
Journal of Applied Probability
Accession number :
edsair.doi.dedup.....68d5a95058cc6f54fa3ee19a435409dc
Full Text :
https://doi.org/10.2307/3212931