A note on extendibility and predictivistic inference in finite populations

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dc.contributor.authorIglesias, Pilar L.
dc.contributor.authorLoschi, Rosangela H.
dc.contributor.authorPereira, Carlos A. B.
dc.contributor.authorWechsler, Sergio
dc.date.accessioned2025-01-21T00:07:21Z
dc.date.available2025-01-21T00:07:21Z
dc.date.issued2009
dc.description.abstractThe usual finite population model where information provided by a subset of units is used to reduce uncertainty about functions of the complete population list of values is explored from a predictivistic point of view. Under this approach, only operationally meaningful quantities (operational parameters) are considered and therefore no superpopulation parameters are involved. This paper addresses the estimation of both population total and maximum based on uniformity and/or exchangeability judgments on finite sequences of random variables. A central point of this paper is that there are contexts in which the superpopulation approach cannot be employed in inferential problems in finite populations. There are circumstances in which the prior distributions for the operational parameters cannot be obtained from any superpopulation model. Conditions for the extendibility to infinite populations are also established for some models, as this approach may ease the inferential problem.
dc.fuente.origenWOS
dc.identifier.doi10.1214/08-BJPS011
dc.identifier.issn0103-0752
dc.identifier.urihttps://doi.org/10.1214/08-BJPS011
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/95626
dc.identifier.wosidWOS:000208094800008
dc.issue.numero2
dc.language.isoen
dc.pagina.final226
dc.pagina.inicio216
dc.revistaBrazilian journal of probability and statistics
dc.rightsacceso restringido
dc.subjectDe Finetti-style theorems
dc.subjectexchangeability
dc.subjectextendibility
dc.subjectoperational parameters
dc.subjectsuperpopulation models
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleA note on extendibility and predictivistic inference in finite populations
dc.typeartículo
dc.volumen23
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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