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A Functional Combinatorial Central Limit Theorem

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	A Functional Combinatorial Central Limit Theorem
2.	Creator	Author's name, affiliation, country	Andrew D Barbour; Universität Zürich; Switzerland
2.	Creator	Author's name, affiliation, country	Svante Janson; Uppsala universitet; Sweden
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Gaussian process; combinatorial central limit theorem; permutation tableau; Stein's method
3.	Subject	Subject classification	60C05; 60F17; 62E20; 05E10
4.	Description	Abstract	The paper establishes a functional version of the Hoeffding combinatorial central limit theorem. First, a pre-limiting Gaussian process approximation is defined, and is shown to be at a distance of the order of the Lyapounov ratio from the original random process. Distance is measured by comparison of expectations of smooth functionals of the processes, and the argument is by way of Stein's method. The pre-limiting process is then shown, under weak conditions, to converge to a Gaussian limit process. The theorem is used to describe the shape of random permutation tableaux.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Schweizer Nationalfonds; Institut Mittag-Leffler
7.	Date	(YYYY-MM-DD)	2009-10-30
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/709
10.	Identifier	Digital Object Identifier	10.1214/EJP.v14-709
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 14
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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