Marginal maximum a posteriori estimation using Markov chain Monte Carlo

  • Authors:
  • Arnaud Doucet;Simon J. Godsill;Christian P. Robert

  • Affiliations:
  • Signal Processing Group, University of Cambridge, Trumpington Street CB2 1PZ Cambridge, UK. ad2@eng.cam.ac.uk;Signal Processing Group, University of Cambridge, Trumpington Street CB2 1PZ Cambridge, UK. sjg@eng.cam.ac.uk;Laboratoire de Statistique, CREST, INSEE, 92245 Malakoff cedex, France. robert@ensae.fr

  • Venue:
  • Statistics and Computing
  • Year:
  • 2002

Quantified Score

Hi-index 0.00

Visualization

Abstract

Markov chain Monte Carlo (MCMC) methods, while facilitating the solution of many complex problems in Bayesian inference, are not currently well adapted to the problem of marginal maximum a posteriori (MMAP) estimation, especially when the number of parameters is large. We present here a simple and novel MCMC strategy, called State-Augmentation for Marginal Estimation (SAME), which leads to MMAP estimates for Bayesian models. We illustrate the simplicity and utility of the approach for missing data interpolation in autoregressive time series and blind deconvolution of impulsive processes.