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Couplings for irregular combinatorial assemblies


Barbour, A D; Pósfai, Anna (2012). Couplings for irregular combinatorial assemblies. In: Barbour, A D; Chan, H P; Siegmund, D. Probability approximations and beyond. New York: Springer, 3-12.

Abstract

When approximating the joint distribution of the component counts of a decomposable combinatorial structure that is ‘almost’ in the logarithmic class, but nonetheless has irregular structure, it is useful to be able first to establish that the distribution of a certain sum of non-negative integer valued random variables is smooth. This distribution is not like the normal, and individual summands can contribute a non-trivial amount to the whole, so its smoothness is somewhat surprising. In this paper, we consider two coupling approaches to establishing the smoothness, and contrast the results that are obtained.

Abstract

When approximating the joint distribution of the component counts of a decomposable combinatorial structure that is ‘almost’ in the logarithmic class, but nonetheless has irregular structure, it is useful to be able first to establish that the distribution of a certain sum of non-negative integer valued random variables is smooth. This distribution is not like the normal, and individual summands can contribute a non-trivial amount to the whole, so its smoothness is somewhat surprising. In this paper, we consider two coupling approaches to establishing the smoothness, and contrast the results that are obtained.

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Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2012
Deposited On:28 Dec 2017 14:31
Last Modified:18 Apr 2018 11:49
Publisher:Springer
Series Name:Lecture Notes in Statistics
Number:205
ISSN:0930-0325
ISBN:978-1-4614-1965-5
Funders:Schweizerischer Nationalfonds
OA Status:Closed
Publisher DOI:https://doi.org/10.1007/978-1-4614-1966-2_1
Related URLs:https://www.recherche-portal.ch/ZAD:default_scope:ebi01_prod006819992 (Library Catalogue)

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