A New Zellner’s g-Prior for Bayesian Model Averaging in Regression Analysis

dc.contributor.authorOgundeji, Rotimi
dc.contributor.authorAdeleke, Ismaila
dc.contributor.authorOkafor, Ray
dc.date.accessioned2019-09-19T15:29:56Z
dc.date.available2019-09-19T15:29:56Z
dc.date.issued2018
dc.description.abstractIn regression analysis, one of the main challenges is selecting a single model among competing models when making inferences. Likewise, the issue of the choice of prior distribution has been delicate in data analysis. Informative prior distributions related to a natural conjugate prior specification are investigated under a limited choice of a single scalar hyperparameter called g-prior, which corresponds to the degree of prior uncertainty on regression coefficients. This research identified a set of 11 candidate default priors (Zellner’s g-priors) prominent in the Literature and applicable in Bayesian model averaging. Some new sets of g-prior structures were investigated with a view to proposing an improved g-prior specification for regression coefficients in Bayesian Model Averaging (BMA) and the predictive performance of these g-priors were compared. Results obtained include the respective prior distributions, posterior distributions and sampling properties of the regression parameters, based on the new set of g-prior structures investigated. Also, empirical findings revealed that the proposed g-prior structure exhibited equally competitive and consistent predictive ability when compared with identified g-prior structures from the Literature.en_US
dc.description.sponsorshipSelfen_US
dc.identifier.citationOgundeji, R. (2018). A New Zellner’s g-Prior for Bayesian Model Averaging in Regression Analysis. Journal of Scientific Research and Development, 18(1), 51-60.en_US
dc.identifier.urihttps://ir.unilag.edu.ng/handle/123456789/5758
dc.language.isoenen_US
dc.publisherFaculty of Science, University of Lagos, Lagos, Nigeria.en_US
dc.subjectBayesian Regressionen_US
dc.subjectModel Uncertaintyen_US
dc.subjectNormal Linear Modelen_US
dc.subjectPredictive Performanceen_US
dc.subjectPrior Elicitationen_US
dc.subjectZellner’s g-Priorsen_US
dc.titleA New Zellner’s g-Prior for Bayesian Model Averaging in Regression Analysisen_US
dc.typeArticleen_US
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