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THE SECOND CENTRAL LIMIT THEOREM FOR MARTINGALE DIFFERENCE ARRAYS

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dc.contributor.authorBae, Jongsig-
dc.contributor.authorJun, Doobae-
dc.contributor.authorLevental, Shlomo-
dc.date.accessioned2022-12-26T23:17:42Z-
dc.date.available2022-12-26T23:17:42Z-
dc.date.issued2014-03-
dc.identifier.issn1015-8634-
dc.identifier.issn2234-3016-
dc.identifier.urihttps://scholarworks.gnu.ac.kr/handle/sw.gnu/19123-
dc.description.abstractIn Bae et al. [2], we have considered the uniform CLT for the martingale difference arrays under the uniformly integrable entropy. In this paper, we prove the same problem under the bracketing entropy condition. The proofs are based on Freedman inequality combined with a chaining argument that utilizes rnajorizing measures. The results of present paper generalize those for a sequence of stationary martingale differences. The results also generalize independent problems.-
dc.format.extent12-
dc.language영어-
dc.language.isoENG-
dc.publisherKOREAN MATHEMATICAL SOC-
dc.titleTHE SECOND CENTRAL LIMIT THEOREM FOR MARTINGALE DIFFERENCE ARRAYS-
dc.typeArticle-
dc.publisher.location대한민국-
dc.identifier.doi10.4134/BKMS.2014.51.2.317-
dc.identifier.scopusid2-s2.0-84897443697-
dc.identifier.wosid000334569900002-
dc.identifier.bibliographicCitationBULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.51, no.2, pp 317 - 328-
dc.citation.titleBULLETIN OF THE KOREAN MATHEMATICAL SOCIETY-
dc.citation.volume51-
dc.citation.number2-
dc.citation.startPage317-
dc.citation.endPage328-
dc.type.docTypeArticle-
dc.description.isOpenAccessY-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.description.journalRegisteredClasskci-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusUNIFORM CLT-
dc.subject.keywordPlusENTROPY-
dc.subject.keywordAuthorcentral limit theorem-
dc.subject.keywordAuthormartingale difference array-
dc.subject.keywordAuthorbracketing entropy-
dc.subject.keywordAuthormajorizing measure-
dc.subject.keywordAuthoreventual uniform equicontinuity-
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자연과학대학 (수학물리학부)
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