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SIAMCOMP
2002

Limit Laws for Sums of Functions of Subtrees of Random Binary Search Trees

9 years 1 months ago
Limit Laws for Sums of Functions of Subtrees of Random Binary Search Trees
We consider sums of functions of subtrees of a random binary search tree, and obtain general laws of large numbers and central limit theorems. These sums correspond to random recurrences of the quicksort type, Xn L = XIn +Xn-1-In +Yn, n 1, where In is uniformly distributed on {0, 1, . . . , n - 1}, Yn is a given random variable, Xk L = Xk for all k, and given In, XIn and Xn-1-In are independent. Conditions are derived such that (Xn -
Luc Devroye
Added 23 Dec 2010
Updated 23 Dec 2010
Type Journal
Year 2002
Where SIAMCOMP
Authors Luc Devroye
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