Bayes Estimation of a Common Mean of Several Normal Populations with Unknown Variances

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dc.contributor.authorMphekgwana, Peter M.
dc.contributor.authorKifle, Yehenew Getachew
dc.contributor.authorMarange, Chioneso S.
dc.date.accessioned2025-01-31T18:24:02Z
dc.date.available2025-01-31T18:24:02Z
dc.date.issued2024-12-23
dc.description.abstractCombining information from several independent normal populations to estimate a common mean parameter has applications in meta-analysis and is an important statistical problem. For this application, Gregurich and Broemeling (1997) and Tu (2012) concentrated on point estimation employing Bayesian techniques to infer about the common mean of two normal populations with unknown variances. In our study, we expand upon their investigation to encompass k normal populations with a common mean, incorporating a range of objective priors. Through the use of two examples, it is discovered that as the hyperparameter α under a Bayesian framework increases, the performance of the Bayesian technique also improves.IJSS, Vol. 24(2) Special, December, 2024, pp 81-94
dc.description.sponsorshipThis research was funded by the University Staff Doctoral Programme (USDP) hosted by the University of Limpopo in collaboration with the University of Maryland Baltimore County, USA.
dc.description.urihttps://www.banglajol.info/index.php/ijss/article/view/78216
dc.format.extent14 pages
dc.genrejournal articles
dc.identifierdoi:10.13016/m2uilv-lqxy
dc.identifier.citationMphekgwana, Peter M., Yehenew G. Kifle, and Chioneso S. Marange. "Bayes Estimation of a Common Mean of Several Normal Populations with Unknown Variances". International Journal of Statistical Sciences 24, no 2. (December 23, 2024): 81–94. https://doi.org/10.3329/ijss.v24i20.78216.
dc.identifier.urihttps://doi.org/10.3329/ijss.v24i20.78216
dc.identifier.urihttp://hdl.handle.net/11603/37542
dc.language.isoen_US
dc.publisherUniversity of Rajshahi
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Mathematics and Statistics Department
dc.rightsAttribution-NonCommercial-ShareAlike 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/4.0/
dc.subjectNoninformative prior
dc.subjectCommon mean
dc.subjectMeta-analysis
dc.subjectBayes estimation
dc.titleBayes Estimation of a Common Mean of Several Normal Populations with Unknown Variances
dc.typeText
dcterms.creatorhttps://orcid.org/0000-0002-5583-6601

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