On the clustering of independent uniform random variables
نویسندگان
چکیده
We consider the number Kn of clusters at a distance level dn ∈ (0, 1) of n independent random variables uniformly distributed in [0, 1] , or the number Kn of connected components in the random interval graph generated by these variables and dn , and, depending upon how fast dn → 0 as n → ∞ , determine the asymptotic distribution of Kn , with rates of convergence, and of related random variables that describe the cluster sizes.
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عنوان ژورنال:
- Random Struct. Algorithms
دوره 25 شماره
صفحات -
تاریخ انتشار 2004