Template-Type: ReDIF-Paper 1.0 Author-Name: Hoogerheide, L.F. Author-Name-Last: Hoogerheide Author-Name-First: Lennart Author-Name: van Dijk, H.K. Author-Name-Last: van Dijk Author-Name-First: Herman Author-Person: pva325 Author-Name: van Oest, R.D. Author-Name-Last: van Oest Author-Name-First: Rutger Title: Simulation based bayesian econometric inference: principles and some recent computational advances. Abstract: In this paper we discuss several aspects of simulation based Bayesian econometric inference. We start at an elementary level on basic concepts of Bayesian analysis; evaluating integrals by simulation methods is a crucial ingredient in Bayesian inference. Next, the most popular and well-known simulation techniques are discussed, the Metropolis-Hastings algorithm and Gibbs sampling (being the most popular Markov chain Monte Carlo methods) and importance sampling. After that, we discuss two recently developed sampling methods: adaptive radial based direction sampling [ARDS], which makes use of a transformation to radial coordinates, and neural network sampling, which makes use of a neural network approximation to the posterior distribution of interest. Both methods are especially useful in cases where the posterior distribution is not well-behaved, in the sense of having highly non-elliptical shapes. The simulation techniques are illustrated in several example models, such as a model for the real US GNP and models for binary data of a US recession indicator. Creation-Date: 2007-01-31 File-URL: https://repub.eur.nl/pub/8523/EI200703.pdf File-Format: application/pdf Series: RePEc:ems:eureir Number: EI 2007-03 Handle: RePEc:ems:eureir:8523