Edgeworth expansions for lattice triangular arrays

  • Edgeworth expansions have been introduced as a generalization of the central limit theorem and allow to investigate the convergence properties of sums of i.i.d. random variables. We consider triangular arrays of lattice random vectors and obtain a valid Edgeworth expansion for this case. The presented results can be used, for example, to study the convergence behavior of lattice models.

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Author:Alona Bock
URN:urn:nbn:de:hbz:386-kluedo-37658
Series (Serial Number):Report in Wirtschaftsmathematik (WIMA Report) (149)
Document Type:Preprint
Language of publication:English
Date of Publication (online):2014/03/26
Year of first Publication:2014
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2014/03/26
Page Number:24
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vom 10.09.2012