Template-Type: ReDIF-Paper 1.0 Author-Name: Hoogerheide, L.F. Author-Name-Last: Hoogerheide Author-Name-First: Lennart Author-Name: Kaashoek, J.F. Author-Name-Last: Kaashoek Author-Name-First: Johan Author-Name: van Dijk, H.K. Author-Name-Last: van Dijk Author-Name-First: Herman Author-Person: pva325 Title: Neural network approximations to posterior densities: an analytical approach Abstract: In Hoogerheide, Kaashoek and Van Dijk (2002) the class of neural network sampling methods is introduced to sample from a target (posterior) distribution that may be multi-modal or skew, or exhibit strong correlation among the parameters. In these methods the neural network is used as an importance function in IS or as a candidate density in MH. In this note we suggest an analytical approach to estimate the moments of a certain (target) distribution, where `analytical' refers to the fact that no sampling algorithm like MH or IS is needed.We show an example in which our analytical approach is feasible, even in a case where a `standard' Gibbs approach would fail or be extremely slow. Creation-Date: 2003-08-07 File-URL: https://repub.eur.nl/pub/1047/ei200338.pdf File-Format: application/pdf Series: RePEc:ems:eureir Number: EI 2003-38 Keywords: Bayesian inference, Markov chain Monte Carlo, importance sampling, neural networks Handle: RePEc:ems:eureir:1047