dc.creator | Ordóñez Cabrera, Manuel Hilario | es |
dc.date.accessioned | 2016-06-03T09:14:50Z | |
dc.date.available | 2016-06-03T09:14:50Z | |
dc.date.issued | 1997 | |
dc.identifier.citation | Ordóñez Cabrera, M.H. (1997). Convergence in mean of weighted sums of {an,k}-compactly uniformly integrable random elements in Banach spaces. International Journal of Mathematics and Mathematical Sciences, 20, 443-450. | |
dc.identifier.issn | 0161-1712 | es |
dc.identifier.issn | 1687-0425 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41844 | |
dc.description.abstract | The convergence in mean of a weighted sum ka.k(Xk EXk) of random
elements in a separable Banach space is studied under a new hypothesis which relates the random elements with their respective weights in the sum: the {a.. }-compactly uniform integrability of {X. }. This condition, which is implied by the tightness of {X,,} and the {a,,k }-uniform integrability of {[IX,, II}, is weaker than the compactly miform integrability of {X,,} and leads
to a result of convergence in mean which is strictly stronger than a recent result of Wang, Rao and Deli. | es |
dc.description.sponsorship | Dirección General de Investigación Científica y Técnica | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Hindawi | es |
dc.relation.ispartof | International Journal of Mathematics and Mathematical Sciences, 20, 443-450. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Weighted sums | es |
dc.subject | random elements in separable Banach spaces | es |
dc.subject | compactly uniform integrability | es |
dc.subject | {an,k}-compactly uniform integrability | es |
dc.subject | tightness | es |
dc.subject | {an,k}- uniform integrability | es |
dc.subject | convergence in mean | es |
dc.title | Convergence in mean of weighted sums of {an,k}-compactly uniformly integrable random elements in Banach spaces | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | PB93-0926 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1155/S0161171297000604 | |
dc.identifier.doi | 10.1155/S0161171297000604 | |
idus.format.extent | 9 p. | es |
dc.journaltitle | International Journal of Mathematics and Mathematical Sciences | es |
dc.publication.volumen | 20 | es |
dc.publication.initialPage | 443 | es |
dc.publication.endPage | 450 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41844 | |
dc.contributor.funder | Dirección General de Investigación Científica y Técnica (DGICYT). España | |
dc.contributor.funder | Junta de Andalucía | |