A class of nonparametric hierarchical mixtures is considered for Bayesian density estimation. This class, namely mixtures of parametric densities on the positive reals with a normalized generalized gamma process as mixing measure, is very flexible in the detection of clusters in the data. With...

We consider the following signaling game. Nature plays first from the set {1,2}. Player 1 (the Sender) sees this and plays from the set {A,B}. Player 2 (the Receiver) sees only Player 1's play and plays from the set {1,2}. Both players win if Player 2's play equals Nature's play and...

Abstract We apply the banded matrix inversion theorem given by Kavcic and Moura [IEEE Trans. Inf. Theory 46: 1495–1509, 2000] to symmetric Toeplitz matrices. If the inverse is banded with bandwidth smaller than its size, there is a gain in arithmetic complexity compared to the current methods...

The distribution function of the mean of a Dirichlet process was found by Cifarelli and Regazzini (1990), through a procedure based on the use of the generalized Stieltjes transform, whose expression was explicitly found at the cost of complex analytic calculations. Here a simpler and more...

We show how to approximate de Finetti's measure of a partially exchangeable sequence by a mixture of products of Dirichlet measures, explicitly built once the approximation error has been fixed. These results are used to give a general method for the elicitation of prior distributions...