Asymptotic normality of recursive algorithms via martingale difference arrays

We propose martingale central limit theorems as an tool to prove asymptotic normality of the costs of certain recursive algorithms which are subjected to random input data. The recursive algorithms that we have in mind are such that if input data of size N produce random costs L N, then L N...

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Bibliographic Details
Main Author: Werner Schachinger
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2001-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/152