Search results for "Bayesian average"

showing 4 items of 4 documents

An introduction to Bayesian reference analysis: inference on the ratio of multinomial parameters

1998

This paper offers an introduction to Bayesian reference analysis, often described as the more successful method to produce non-subjective, model-based, posterior distributions. The ideas are illustrated in detail with an interesting problem, the ratio of multinomial parameters, for which no model-based Bayesian analysis has been proposed. Signposts are provided to the huge related literature.

Statistics and ProbabilityBayesian probabilityPosterior probabilityInferenceBayesian inferencecomputer.software_genreStatistics::ComputationBayesian statisticsComputingMethodologies_PATTERNRECOGNITIONPrior probabilityEconometricsData miningBayesian linear regressionBayesian averagecomputerMathematicsJournal of the Royal Statistical Society: Series D (The Statistician)
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What Bayesians Expect of Each Other

1991

Abstract Our goal is to study general properties of one Bayesian's subjective beliefs about the behavior of another Bayesian's subjective beliefs. We consider two Bayesians, A and B, who have different subjective distributions for a parameter θ, and study Bayesian A's expectation of Bayesian B's posterior distribution for θ given some data Y. We show that when θ can take only two values, Bayesian A always expects Bayesian B's posterior distribution to lie between the prior distributions of A and B. Conditions are given under which a similar result holds for an arbitrary real-valued parameter θ. For a vector parameter θ we present useful expressions for the mean vector and covariance matrix …

Statistics and ProbabilityBayesian probabilityPosterior probabilityBayesian inferenceStatistics::ComputationBayesian statisticsStatisticsBayesian experimental designBayesian hierarchical modelingApplied mathematicsStatistics Probability and UncertaintyBayesian linear regressionBayesian averageMathematicsJournal of the American Statistical Association
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Data Augmentation Approach in Bayesian Modelling of Presence-only Data

2011

Abstract Ecologists are interested in prediction of potential distribution of species in suitable areas, essential for planning conservation and management strategies. Unfortunately, often the only available information in such studies is the true presence of the species at few locations of the study area and the associated environmental covariates over the entire area, referred as presence-only data. We propose a Bayesian approach to estimate logistic linear regressions adapted to presence-only data through the introduction of a random approximation of the correction factor in the adjusted logistic model that allows us to overcome the need to know a priori the prevalence of the species.

Data augmentationPresence-only dataComputer scienceBayesian probabilityLogistic regressionBayesian inferencePseudo-absence approachBayesian statisticsBayesian model; Data augmentation; MCMC algorithm; Potential distribution; Presence-only data; Pseudo-absence approachBayesian model Data augmentation MCMC algorithm Presence-only data Pseudo-absence approach Potential distributionpotentialdistributionBayesian modelBayesian multivariate linear regressionPotential distributionStatisticsCovariateEconometricsGeneral Earth and Planetary Sciencespseudo-absence approach; potentialdistribution.; data augmentation; presence-only data; potential distribution; mcmc algorithm; bayesian modelBayesian linear regressionBayesian averageMCMC algorithmGeneral Environmental ScienceProcedia Environmental Sciences
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A Bayesian analysis of classical hypothesis testing

1980

The procedure of maximizing the missing information is applied to derive reference posterior probabilities for null hypotheses. The results shed further light on Lindley’s paradox and suggest that a Bayesian interpretation of classical hypothesis testing is possible by providing a one-to-one approximate relationship between significance levels and posterior probabilities.

Statistics and ProbabilityBayes factorBayesian inferenceStatistics::ComputationBayesian statisticsStatisticsEconometricsBayesian experimental designStatistics::MethodologyStatistics Probability and UncertaintyBayesian linear regressionLindley's paradoxBayesian averageMathematicsStatistical hypothesis testingTrabajos de Estadistica Y de Investigacion Operativa
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