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Further Results on Bayesian Method of Moments Analysis of the Multiple Regression Model
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2001
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Bayesian StatisticBayesian EconometricsRegression AnalysisBiostatisticsBayesian MethodsMultiple Regression ModelPublic HealthStatisticsBayesian Hierarchical ModelingPostdata DensitiesMoments AnalysisBayesian MethodPredictive AnalyticsModel ComparisonPrevious Bmom ResultsBayesian StatisticsLogistic RegressionStatistical InferenceMultivariate AnalysisVariance Parameter
In this article we extend previous BMOM results by showing how information about a variance parameter and its relation to regression coefficients produces a rich class of postdata densities for regression parameters. Prediction and model selection techniques are also described. We also discuss the well‐documented link between cross‐entropy and the average log odds and then use this criterion in an experiment to compare results obtained from BMOM and Bayes approaches using data generated from known models.