About the asymptotic accuracy of Barron density estimates

By extending the information-theoretic arguments of previous papers dealing with the Barron-type density estimates, and their consistency in information divergence and chi-square divergence, the problem of consistency in Csiszar's /spl phi/-divergence is motivated for general convex functions /spl phi/. The problem of consistency in /spl phi/-divergence is solved for all /spl phi/ with /spl phi/(0)