Kolotilin, Anton; Wolitzky, Alexander - In: Theoretical economics : TE ; an open access journal in … 19 (2024) 4, pp. 1399-1413
We offer a simple analysis of the problem of choosing a statistical experiment to optimize the induced distribution of … posterior medians or, more generally, q-quantiles for any q ∈ (0,1). We show that a single experiment-the q-quantile matching … experiment-implements all implementable distributions of posterior q-quantiles, with different distributions spanned by different …