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A Note on Wishart and Inverse Wishart Priors for Covariance Matrix

Zhiyong Zhang

2021Journal of Behavioral Data Science29 citationsDOIOpen Access PDF

Abstract

For inference involving a covariance matrix, inverse Wishart priors are often used in Bayesian analysis. To help researchers better understand the influence of inverse Wishart priors, we provide a concrete example based on the analysis of a two by two covariance matrix. Recommendations are provided on how to specify an inverse Wishart prior.

Topics & Concepts

Wishart distributionInverse-Wishart distributionPrior probabilityEstimation of covariance matricesMathematicsInverseCovarianceCovariance matrixApplied mathematicsBayesian probabilityStatisticsMultivariate statisticsGeometryAdvanced Statistical Methods and ModelsBayesian Modeling and Causal InferenceBlind Source Separation Techniques
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