Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/55022
DC FieldValueLanguage
dc.contributor.authorMartel-Escobar, María-
dc.contributor.authorVázquez-Polo, Francisco José-
dc.contributor.authorHernández-Bastida, Agustín-
dc.date.accessioned2019-02-18T16:10:56Z-
dc.date.available2019-02-18T16:10:56Z-
dc.date.issued2018-
dc.identifier.issn1099-4300-
dc.identifier.otherWoS-
dc.identifier.urihttp://hdl.handle.net/10553/55022-
dc.description.abstractProblems in statistical auditing are usually one–sided. In fact, the main interest for auditors is to determine the quantiles of the total amount of error, and then to compare these quantiles with a given materiality fixed by the auditor, so that the accounting statement can be accepted or rejected. Dollar unit sampling (DUS) is a useful procedure to collect sample information, whereby items are chosen with a probability proportional to book amounts and in which the relevant error amount distribution is the distribution of the taints weighted by the book value. The likelihood induced by DUS refers to a 201–variate parameter p but the prior information is in a subparameter θ linear function of p , representing the total amount of error. This means that partial prior information must be processed. In this paper, two main proposals are made: (1) to modify the likelihood, to make it compatible with prior information and thus obtain a Bayesian analysis for hypotheses to be tested; (2) to use a maximum entropy prior to incorporate limited auditor information. To achieve these goals, we obtain a modified likelihood function inspired by the induced likelihood described by Zehna (1966) and then adapt the Bayes’ theorem to this likelihood in order to derive a posterior distribution for θ . This approach shows that the DUS methodology can be justified as a natural method of processing partial prior information in auditing and that a Bayesian analysis can be performed even when prior information is only available for a subparameter of the model. Finally, some numerical examples are presented.-
dc.languageeng-
dc.relation.ispartofEntropy-
dc.sourceEntropy[ISSN 1099-4300],v. 20 (12), (Diciembre 2018)-
dc.subject530204 Estadística económica-
dc.subject.otherAuditing-
dc.subject.otherBayesian inference-
dc.subject.otherDollar unit sampling-
dc.subject.otherModified likelihood-
dc.subject.otherPartial prior information-
dc.titleBayesian inference in auditing with partial prior information using maximum entropy priors-
dc.typeinfo:eu-repo/semantics/article-
dc.typeArticle-
dc.identifier.doi10.3390/e20120919-
dc.identifier.scopus85058953400-
dc.identifier.isi000454282000027-
dc.contributor.authorscopusid57203067729-
dc.contributor.authorscopusid6602318225-
dc.contributor.authorscopusid6506113782-
dc.identifier.issue919-
dc.relation.volume20-
dc.investigacionCiencias Sociales y Jurídicas-
dc.type2Artículo-
dc.contributor.daisngid4140188-
dc.contributor.daisngid29952969-
dc.contributor.daisngid3536871-
dc.description.numberofpages9-
dc.contributor.wosstandardWOS:Martel-Escobar, M-
dc.contributor.wosstandardWOS:Vazquez-Polo, FJ-
dc.contributor.wosstandardWOS:Hernandez-Bastida, A-
dc.date.coverdateDiciembre 2018-
dc.identifier.ulpgces
dc.description.sjr0,524
dc.description.jcr2,419
dc.description.sjrqQ2
dc.description.jcrqQ2
dc.description.scieSCIE
item.grantfulltextopen-
item.fulltextCon texto completo-
crisitem.author.deptGIR Técnicas estadísticas bayesianas y de decisión en la economía y empresa-
crisitem.author.deptIU de Turismo y Desarrollo Económico Sostenible-
crisitem.author.deptDepartamento de Métodos Cuantitativos en Economía y Gestión-
crisitem.author.deptGIR Técnicas estadísticas bayesianas y de decisión en la economía y empresa-
crisitem.author.deptIU de Turismo y Desarrollo Económico Sostenible-
crisitem.author.deptDepartamento de Métodos Cuantitativos en Economía y Gestión-
crisitem.author.orcid0000-0002-7013-4747-
crisitem.author.orcid0000-0002-0632-6138-
crisitem.author.parentorgIU de Turismo y Desarrollo Económico Sostenible-
crisitem.author.parentorgIU de Turismo y Desarrollo Económico Sostenible-
crisitem.author.fullNameMartel Escobar, María Carmen-
crisitem.author.fullNameVázquez Polo, Francisco José-
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