Iterated importance sampling in missing data problems

  • Authors:
  • Gilles Celeux;Jean-Michel Marin;Christian P. Robert

  • Affiliations:
  • INRIA, FUTURS, Orsay, France;INRIA, FUTURS, Orsay, France and CEREMADE, University Paris Dauphine, Place du Maréchal de Lattre de Tassigny, Paris, France;CEREMADE, University Paris Dauphine, Place du Maréchal de Lattre de Tassigny, Paris, France and CREST, INSEE, Paris, France

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2006

Quantified Score

Hi-index 0.03

Visualization

Abstract

Missing variable models are typical benchmarks for new computational techniques in that the ill-posed nature of missing variable models offer a challenging testing ground for these techniques. This was the case for the EM algorithm and the Gibbs sampler, and this is also true for importance sampling schemes. A population Monte Carlo scheme taking advantage of the latent structure of the problem is proposed. The potential of this approach and its specifics in missing data problems are illustrated in settings of increasing difficulty, in comparison with existing approaches. The improvement brought by a general Rao-Blackwellisation technique is also discussed.