Baum-Katz’s Type Theorems for Pairwise Independent Random Elements in Certain Metric Spaces

Nguyen, Tran Thuan; Quang, Nguyen Van

doi:10.1007/s40306-018-0285-9

dc.contributor.author	Nguyen, Tran Thuan
dc.contributor.author	Quang, Nguyen Van
dc.date.accessioned	2020-11-19T08:29:13Z
dc.date.available	2020-11-19T08:29:13Z
dc.date.issued	2020
dc.identifier.citation	Nguyen, T. T., & Quang, N. V. (2020). Baum-Katz’s Type Theorems for Pairwise Independent Random Elements in Certain Metric Spaces. <i>Acta Mathematica Vietnamica</i>, <i>45</i>(3), 555-570. <a href="https://doi.org/10.1007/s40306-018-0285-9" target="_blank">https://doi.org/10.1007/s40306-018-0285-9</a>
dc.identifier.other	CONVID_28238946
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/72678
dc.description.abstract	In this study, some Baum-Katz’s type theorems for pairwise independent random elements are extended to a metric space endowed with a convex combination operation. Our results are considered in the cases of identically distributed and non-identically distributed random elements. Some illustrative examples are provided to sharpen the results.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	National Center for Scientific Research
dc.relation.ispartofseries	Acta Mathematica Vietnamica
dc.rights	In Copyright
dc.subject.other	Baum-Katz theorem
dc.subject.other	convex combination
dc.subject.other	metric space
dc.title	Baum-Katz’s Type Theorems for Pairwise Independent Random Elements in Certain Metric Spaces
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-202011196683
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.date.updated	2020-11-19T07:15:06Z
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	555-570
dc.relation.issn	0251-4184
dc.relation.numberinseries	3
dc.relation.volume	45
dc.type.version	acceptedVersion
dc.rights.copyright	© 2018, Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd.
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.subject.yso	metriset avaruudet
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p27753
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1007/s40306-018-0285-9
jyx.fundinginformation	This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.03-2017.24.
dc.type.okm	A1