Limit laws for functions of fringe trees for binary search trees and random recursive trees
نویسندگان
چکیده
منابع مشابه
Limit laws for functions of fringe trees for binary search trees and random recursive trees
We prove general limit theorems for sums of functions of subtrees of (random) binary search trees and random recursive trees. The proofs use a new version of a representation by Devroye, and Stein’s method for both normal and Poisson approximation together with certain couplings. As a consequence, we give simple new proofs of the fact that the number of fringe trees of size k = kn in the binary...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2015
ISSN: 1083-6489
DOI: 10.1214/ejp.v20-3627