Interactive hidden Markov models and their applications

W. K. CHING, E. FUNG, M. NG, T. K. SIU, Wai Keung LI

Research output: Contribution to journalArticles

7 Citations (Scopus)

Abstract

In this paper, we propose an Interactive hidden Markov model (IHMM). In a traditional HMM, the observable states are affected directly by the hidden states, but not vice versa. In the proposed IHMM, the transitions of hidden states depend on the observable states. We also develop an efficient estimation method for the model parameters. Numerical examples on the sales demand data and economic data are given to demonstrate the applicability of the model. Copyright © 2006 The authors. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Original languageEnglish
Pages (from-to)85-97
JournalIMA Journal of Management Mathematics
Volume18
Issue number1
DOIs
Publication statusPublished - Jan 2007

Citation

Ching, W. K., Fung, E., Ng, M., Siu, T. K., & Li, W. K. (2007). Interactive hidden Markov models and their applications. IMA Journal of Management Mathematics, 18(1), 85-97. doi: 10.1093/imaman/dpl014

Keywords

  • Hidden Markov model
  • Categorical time series
  • Steady-state probability distribution
  • Prediction of demand

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