Interactive hidden Markov models and their applications

Interactive hidden Markov models and their applications

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Article ID: iaor20081980
Country: United Kingdom
Volume: 18
Issue: 1
Start Page Number: 85
End Page Number: 97
Publication Date: Jan 2007
Journal: IMA Journal of Management Mathematics (Print)
Authors: , , , ,
Keywords: demand, economics
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.

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