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Estimation, Decoding and Forecasting in HMM and Hybrid HMM/ANN Models : a Case of Seismic Events in Poland

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Języki publikacji
EN
Abstrakty
EN
This paper compares performance of a hidden Markov model (HMM) and a hybrid HMM/ANN model in seismic events modeling. Observation variables are assumed to follow a Poisson distribution. Parameters of the discrete-time two-state models are estimated on the basis of data on seismic events that were recorded in Poland from 1991 to 1995. Then, on the basis of the estimation results, the most likely sequences of states of the hidden Markov chains are found and forecasts for January 1996 are made. It is shown that the hybrid model fits better to the data.
Rocznik
Tom
Strony
7--17
Opis fizyczny
Bibliiogr. 14 poz., tab., wykr.
Twórcy
autor
  • Retail Credit Risk Department, Bank BPH SA Emilii Plater Street 53, 00-113 Warsaw, Poland
Bibliografia
  • 1. Baldi P., Brunak S., (2001). Bioinformatics. The Machine Learning Approach, Cambridge, MIT Press.
  • 2. Barndorff-Nielsen O.E., Cox D.R., Kluppelberg C. (eds.), (2000). Complex Stochastic Systems, Boca Raton, Chapman and Hall.
  • 3. Baum L.E., Petrie T., (1966). Statistical inference for probabilistic functions of finite Markov chains, Annals of Mathematical Statistics, 37, 1554-1563.
  • 4. Elliott R.J., Lakhdar A., Moore, J.B., (1995). Hidden Markov models: estimation and control, New York, Springer.
  • 5. Greene W.H., (2000). Econometric Analysis, Upper Saddle River, Prentice Hall.
  • 6. Huang X.D., Ariky Y., Jack M.A., (1990). Hidden Markov models for speech recognition, Edinburgh, Edinburgh University Press.
  • 7. Kurimo M., (1997). Using self-organizing maps and learning vector quantization for mixture density hidden Markov models, Helsinki, Helsinki University of Technology.
  • 8. MacDonald I.L., Zucchini W., (1997). Hidden Markov and Other Models for Discrete-valued Time Series, London, Chapman and Hall.
  • 9. Rabiner L., (1989). A Tutorial on hidden Markov Models and Selected Applications in Speech Recognition, Proceedings of the IEEE, 77(2), 257-285.
  • 10. Riis S.K., Krogh A., (1997). Hidden neural networks: a framework for HMM/NN hybrids, Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing, 3233-3236.
  • 11. Rynkiewicz J., (1999). Hybrid HMM/MLP models for time series prediction, Proceedings of European Symposium on Artificial Neural Networks, 455-462.
  • 12. Rynkiewicz J., (2001). Estimation of Hybrid HMM/MLP models, Proceedings of European Symposium on Artificial Neural Networks, 383-390.
  • 13. Trentin E., Gori M., (2001). A survey of hybrid ANN/HMM models for automatic speech recognition, Neurocomputing, 37(1-4), 91-126.
  • 14. Zwoliński Z. Wirtualna Geomorfologia, http://main. amu. edu.pl/~sgp/gw/tzpl/gwtzpl.html
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d8e3a5bb-14f9-4a55-a230-c3df21de69c4
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