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Mean value estimation using low size samples extracted from skewed populations

dc.contributor.authorMartins, João P.
dc.contributor.authorFelgueiras, Miguel
dc.contributor.authorSantos, Rui
dc.date.accessioned2024-04-10T10:11:22Z
dc.date.available2024-04-10T10:11:22Z
dc.date.issued2022
dc.description.abstractThe use of the 𝑇-statistic in statistical inference procedures is usually restricted to normal populations or to large samples. However, these conditions may not be fulfilled in some situations: the population can be moderate/highly skewed, or the sample size can be small. In this work, we use the Pearson’s system of distributions, namely, type IV distributions to model 𝑇. By some simulation work, it is shown that this approximation leads to confidence intervals whose coverage is close to the nominal coverage even for low sample sizes.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationMartins, J. P., Felgueiras, M., & Santos, R. (2022). Mean value estimation using low size samples extracted from skewed populations. WSEAS Transactios on Mathematics, 21, 107–112. https://doi.org/10.37394/23206.2022.21.16pt_PT
dc.identifier.doi10.37394/23206.2022.21.16pt_PT
dc.identifier.eissn2224-2880
dc.identifier.issn1109-2769
dc.identifier.urihttp://hdl.handle.net/10400.22/25330
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherWSEASpt_PT
dc.relation.publisherversionhttps://wseas.com/journals/mathematics/2022/a325106-003(2022).pdfpt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subject𝑇-statisticpt_PT
dc.subjectType IV distributionspt_PT
dc.subjectPearson’s systempt_PT
dc.subjectSkewnesspt_PT
dc.subjectkurtosispt_PT
dc.subjectEstimationpt_PT
dc.subjectConfidence intervalpt_PT
dc.subjectCoveragept_PT
dc.subjectMean valuept_PT
dc.subjectSimulationpt_PT
dc.titleMean value estimation using low size samples extracted from skewed populationspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage112pt_PT
oaire.citation.startPage107pt_PT
oaire.citation.titleWSEAS Transactions on Mathematicspt_PT
oaire.citation.volume21pt_PT
person.familyNameOliveira Martins
person.givenNameJoão Paulo
person.identifier955929
person.identifier.ciencia-id6913-C065-48FF
person.identifier.orcid0000-0002-0474-1397
person.identifier.scopus-author-id55838096100
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication9d1f7388-bb3e-4f1d-bf41-08a589b1d6a8
relation.isAuthorOfPublication.latestForDiscovery9d1f7388-bb3e-4f1d-bf41-08a589b1d6a8

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