1. Brunel University Research Archive
  2. College of Engineering, Design and Physical Sciences
  3. Dept of Mathematics
  4. Dept of Mathematics Research Papers
Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/27866
Full metadata record
DC FieldValueLanguage
dc.contributor.authorFernando, K-
dc.contributor.authorHebbar, P-
dc.date.accessioned2023-12-16T09:54:45Z-
dc.date.available2023-12-16T09:54:45Z-
dc.date.issued2021-02-03-
dc.identifier.citationFernando, K. and Hebbar, P. (2021) 'Higher order asymptotics for large deviations – Part I', Asymptotic Analysis, 121 (3-4), pp. 219 - 257. doi: 10.3233/ASY-201602.en_US
dc.identifier.issn0921-7134-
dc.identifier.urihttps://bura.brunel.ac.uk/handle/2438/27866-
dc.descriptionThe file archived on this institutional repository is a preprint available online at https://arxiv.org/abs/1811.06793. It has not been certified by peer review. Please consult the version of record available published by IOS Press at https://doi.org/10.3233/ASY-201602 .-
dc.description.abstractFor sequences of non-lattice weakly dependent random variables, we obtain asymptotic expansions for Large Deviation Principles. These expansions, commonly referred to as strong large deviation results, are in the spirit of Edgeworth Expansions for the Central Limit Theorem. We show that the results are applicable to Diophantine iid sequences, finite state Markov chains, strongly ergodic Markov chains and Birkhoff sums of smooth expanding maps & subshifts of finite type.en_US
dc.description.sponsorshipP. Hebbar was partially supported by the ARO grant W911NF1710419.en_US
dc.format.extent219 - 257-
dc.format.mediumPrint-Electronic-
dc.languageEnglish-
dc.language.isoen_USen_US
dc.publisherIOS Pressen_US
dc.relation.urihttps://arxiv.org/abs/1811.06793-
dc.rightsCopyright © 2021 IOS Press and the authors. All rights reserved. The file archived on this institutional repository is a preprint available online at https://arxiv.org/abs/1811.06793. It has not been certified by peer review. Please consult the version of record available published by IOS Press at https://doi.org/10.3233/ASY-201602 (see: https://www.iospress.com/article-sharing-policy).-
dc.subjectlarge deviationsen_US
dc.subjectasymptotic expansionsen_US
dc.subjectweak dependenceen_US
dc.subjectMarkov chainsen_US
dc.subjectexpanding mapsen_US
dc.subjectsubshifts of finite typeen_US
dc.titleHigher order asymptotics for large deviations – Part Ien_US
dc.typeArticleen_US
dc.identifier.doihttps://doi.org/10.3233/ASY-201602-
dc.relation.isPartOfAsymptotic Analysis-
pubs.issue3-4-
pubs.publication-statusPublished-
pubs.volume121-
dc.identifier.eissn1875-8576-
dc.rights.holderIOS Press and the authors-
dc.rights.holderhttps://www.iospress.com/article-sharing-policy-
Appears in Collections:Dept of Mathematics Research Papers

Files in This Item:
File Description SizeFormat 
Preprint.pdfCopyright © 2021 IOS Press and the authors. All rights reserved. The file archived on this institutional repository is a preprint available online at https://arxiv.org/abs/1811.06793. It has not been certified by peer review. Please consult the version of record available published by IOS Press at https://doi.org/10.3233/ASY-201602 (see: https://www.iospress.com/article-sharing-policy).608.39 kBAdobe PDFView/Open
Show simple item record


Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.