Risk and information in the estimation of hidden Markov models

  • Authors:
  • Vahid R. Ramezani;Steven I. Marcus;Michael Fu

  • Affiliations:
  • University of Maryland College Park, MD;University of Maryland College Park, MD;University of Maryland College Park, MD

  • Venue:
  • WSC '04 Proceedings of the 36th conference on Winter simulation
  • Year:
  • 2004

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Abstract

In this paper, we consider the relationship between risk-sensitivity and information. Product estimators are introduced as a generalization of Maximum A Posteriori Probability (MAP) estimator for Hidden Markov Models. We study the relationship between the inclusion of higher order moments, the underlying dynamics and the availability of information. Asymptotic periodicity of these estimators and the relationship between risk and information is studied via simulation.