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A Maximum Likelihood Estimator for the Prevalence Rate Using Pooled Sample Tests

dc.contributor.authorMartins, João Paulo
dc.contributor.authorSantos, Rui
dc.contributor.authorFelgueiras, Miguel
dc.date.accessioned2025-11-06T16:26:33Z
dc.date.available2025-11-06T16:26:33Z
dc.date.issued2015-01
dc.descriptionConference name 5th International Conference on Risk Analysis, ICRA5 2013, Tomar
dc.descriptionConference date 30 May 2013 - 1 June 2013
dc.description.abstractSince Dorfman’s seminal work, research on methodologies involving pooled sample tests has increased significantly.Moreover, the use of pooled samples refers not only to the classification problem (identifying all the infected individuals in a population), but also refers to the problem of estimating the prevalence rate p, as Sobel and Elashoff stated. The use of compound tests is not restricted to hierarchical algorithms where the most common example is Dorfman’s two-stage procedure. Matrix schemes such as the square array algorithm or multidimensional matrices schemes in certain cases outperform Dorfman’s procedure. Maximum likelihood estimates are quite difficult to compute when a procedure does not classify all individuals. This paper presents two innovative methods to compute maximum likelihood estimates in both type of procedures.eng
dc.description.sponsorshipFunding text Research partially sponsored by national funds through the Fundação Nacional para a Ciência e Tecnologia, Portugal — FCT under the project (PEst-OE/MAT/UI0006/2014).
dc.identifier.citationMartins, João & Felgueiras, Miguel & Santos, Rui. (2014). Maximum likelihood estimation in pooled sample tests. 1618. 543-546. 10.1063/1.4897795.
dc.identifier.doi10.1007/978-3-319-18029-8_8
dc.identifier.isbn978-331918028-1
dc.identifier.isbn978-3-319-18029-8
dc.identifier.urihttp://hdl.handle.net/10400.8/14545
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer Nature
dc.relationStrategic Project - UI 6 - 2014
dc.relation.hasversionhttps://link.springer.com/chapter/10.1007/978-3-319-18029-8_8
dc.relation.ispartofSpringer Proceedings in Mathematics & Statistics
dc.relation.ispartofTheory and Practice of Risk Assessment
dc.rights.uriN/A
dc.subjectCompound tests
dc.subjectMaximum likelihood estimator
dc.subjectPrevalence rate
dc.titleA Maximum Likelihood Estimator for the Prevalence Rate Using Pooled Sample Testseng
dc.typebook part
dspace.entity.typePublication
oaire.awardTitleStrategic Project - UI 6 - 2014
oaire.awardURIhttp://hdl.handle.net/10400.8/13114
oaire.citation.endPage110
oaire.citation.startPage99
oaire.citation.titleTheory and Practice of Risk Assessment - ICRA 5, Tomar, Portugal, 2013, Conference proceedings © 2015
oaire.citation.volume136
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameOliveira Martins
person.familyNameSantos
person.familyNameFelgueiras
person.givenNameJoão Paulo
person.givenNameRui
person.givenNameMiguel
person.identifier1051057
person.identifier.ciencia-id7610-8B27-8044
person.identifier.ciencia-id0F1B-DE05-36E5
person.identifier.orcid0000-0002-0474-1397
person.identifier.orcid0000-0002-7371-363X
person.identifier.orcid0000-0001-5450-7374
person.identifier.ridC-1873-2015
person.identifier.ridM-8134-2019
person.identifier.scopus-author-id56979441000
person.identifier.scopus-author-id50861001200
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