\input zb-basic \input zb-stmaz \iteman{ZMATH 06130705} \itemau{Bouriga, M.; F\'eron, O.} \itemti{Estimation of covariance matrices based on hierarchical inverse-Wishart priors.} \itemso{J. Stat. Plann. Inference 143, No. 4, 795-808 (2013).} \itemab Summary: This paper focuses on Bayesian shrinkage methods for covariance matrix estimation. We examine posterior properties and frequentist risks of Bayesian estimators based on new hierarchical inverse-Wishart priors. More precisely, we give the conditions for the existence of the posterior distributions. Advantages in terms of numerical simulations of posteriors are shown. A simulation study illustrates the performance of the estimation procedures under three loss functions for relevant sample sizes and various covariance structures. \itemrv{~} \itemcc{62} \itemut{Bayesian covariance estimation; skrinkage; hierarchical inverse-Wishart prior; loss function; experiments comparisons} \itemli{doi:10.1016/j.jspi.2012.09.006} \end