Deriving an optimal asset allocation for institutional investors hinges crucially on the quality of inputs used in the optimization. If the mean vector and the covariance matrix are known with certainty, the classical mean-variance optimization of Markowitz (1952) produces optimal portfolios....

The properties of information, including "information uncertainty", can be understood only Bayesianly. Common formulations that define information uncertainty in terms of just statistical "precision" (i.e. sampling variance), or any one estimator characteristic (e.g. bias), are inadequate for...