On the longest length of consecutive integers

Authors
Zhao, Min Zhi Shao, Qi-Man
Citation
Zhao, Min Zhi et Shao, Qi-man, On the longest length of consecutive integers, Acta mathematica Sinica. English series (Print) , 27(2), 2011, pp. 329-338
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
27
Issue
2
Year of publication
2011
Pages
329 - 338
Database
ACNP
SICI code
Abstract
Choose m numbers from the set {1, 2, ., n} at random without replacement. In this paper we first establish the limiting distribution of the longest length of consecutive integers and then apply the result to test randomness of selecting numbers without replacement.