Publicação
A note on weighted sums of i.i.d. random variables
| dc.contributor.author | Silva, João Lita da | |
| dc.contributor.institution | DM - Departamento de Matemática | |
| dc.contributor.institution | GeoBioTec - Geobiociências, Geoengenharias e Geotecnologias | |
| dc.contributor.pbl | Academic Press Inc | Elsevier Science | |
| dc.date.accessioned | 2025-06-18T21:15:51Z | |
| dc.date.embargoedUntil | 2027-10-15 | |
| dc.date.issued | 2025-10-15 | |
| dc.description | Funding Information: This work is funded by national funds through the FCT - Fundação para a Ciência e a Tecnologia, I.P., under the scope of project UIDB/04035/2020 (GeoBioTec). Publisher Copyright: © 2025 Elsevier Inc. | |
| dc.description.abstract | Given a sequence {Xn,n⩾1} of independent and identically distributed random variables such that E|X1|p<∞ for some 1<p<2, and a triangular array {an,j,1⩽j⩽n,n⩾1} of real numbers monotonic with respect to one of the indices satisfying max1⩽j⩽n|an,j|=O(1), n→∞, it is shown that n−1/p∑j=1nan,j(Xj−EXj)⟶a.s.0. | en |
| dc.description.version | authorsversion | |
| dc.description.version | published | |
| dc.format.extent | 9 | |
| dc.format.extent | 166309 | |
| dc.identifier.doi | 10.1016/j.jmaa.2025.129618 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.other | PURE: 117438788 | |
| dc.identifier.other | PURE UUID: e9f42bc4-4b3b-481c-be90-7ca583912014 | |
| dc.identifier.other | Scopus: 105004315033 | |
| dc.identifier.uri | http://hdl.handle.net/10362/184231 | |
| dc.identifier.url | https://www.scopus.com/pages/publications/105004315033 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04035%2F2020/PT | |
| dc.relation | GeoBioSciences GeoTechnologies and GeoEngineering | |
| dc.subject | Independent and identically distributed random variables | |
| dc.subject | Strong law of large numbers | |
| dc.subject | Weighted sums | |
| dc.subject | Analysis | |
| dc.subject | Applied Mathematics | |
| dc.title | A note on weighted sums of i.i.d. random variables | en |
| dc.type | journal article | |
| degois.publication.firstPage | 1 | |
| degois.publication.issue | 2 | |
| degois.publication.lastPage | 9 | |
| degois.publication.title | Journal of Mathematical Analysis and Applications | |
| degois.publication.volume | 550 | |
| dspace.entity.type | Publication | |
| oaire.awardNumber | UIDB/04035/2020 | |
| oaire.awardTitle | GeoBioSciences GeoTechnologies and GeoEngineering | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04035%2F2020/PT | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | embargoedAccess | |
| relation.isProjectOfPublication | 79cbe169-6a63-4f2b-a8f3-2b55bb9abfa4 | |
| relation.isProjectOfPublication.latestForDiscovery | 79cbe169-6a63-4f2b-a8f3-2b55bb9abfa4 |
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