On P-convergence of four dimensional weighted sums of double random variables

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dc.contributor.authorPatterson, Richard F.
dc.contributor.authorSavaş, Ekrem
dc.date.accessioned2020-11-21T15:53:19Z
dc.date.available2020-11-21T15:53:19Z
dc.date.issued2016en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractThe goal of this paper was to present a series of limit theorems that characterizes independent double random variables via four dimensional summability transformation. In order to accomplish this goal we began with the presentation of the following theorem that characterize pairwise independent random variables: let [x?,l] be a double sequence of pairwise independent random variables such that [x?,l] was uniformly integrable. Let [am, n, k, l] be a four dimensional matrix such that (equation presented) ? C for all ordered pair (m, n) and for some C and (equation presented) converges to 0 in probability Then (equation presented) (x?,l E(x?,l) converges in mean to 0. Other extensions and variations via multidimensional transformation shall also be presented.en_US
dc.identifier.endpage1181en_US
dc.identifier.issn0126-6039
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-84983283336en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1177en_US
dc.identifier.urihttps://hdl.handle.net/11467/3544
dc.identifier.volume45en_US
dc.identifier.wosWOS:000382644300021en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPenerbit Universiti Kebangsaan Malaysiaen_US
dc.relation.ispartofSains Malaysianaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDouble sequences Pringsheim limit pointen_US
dc.subjectP-convergenten_US
dc.subjectRH-Regularen_US
dc.titleOn P-convergence of four dimensional weighted sums of double random variablesen_US
dc.typeArticleen_US

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