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On the Moment-Transfer Approach for Random Variables Satisfying a One-Sided Distributional Recurrence

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1.	Title	Title of document	On the Moment-Transfer Approach for Random Variables Satisfying a One-Sided Distributional Recurrence
2.	Creator	Author's name, affiliation, country	Che-Hao Chen; National Chiao Tung University; Taiwan, Province of China
2.	Creator	Author's name, affiliation, country	Michael Fuchs; National Chiao Tung University; Taiwan, Province of China
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	distributional recurrence; moment-transfer approach; central limit theorem; analysis of algorithms
3.	Subject	Subject classification	05C05; 60F05; 68Q87
4.	Description	Abstract	The moment-transfer approach is a standard tool for deriving limit laws of sequences of random variables satisfying a distributional recurrence. However, so far the approach could not be applied to certain "one-sided" recurrences with slowly varying moments and normal limit law. In this paper, we propose a modified version of the moment-transfer approach which can be applied to such recurrences. Moreover, we demonstrate the usefulness of our approach by re-deriving several recent results in an almost automatic fashion.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	National Science Council under the grant NSC-99-2115-M-009-007-MY2
7.	Date	(YYYY-MM-DD)	2011-05-10
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/885
10.	Identifier	Digital Object Identifier	10.1214/EJP.v16-885
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 16
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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