Computational methods for discrete hidden semi-Markov chains

Applied Stochastic Models and Data Analysis

Volumn 15, Issue 3, 1999, Pages 195-224

  Guédon, Yann ^a  

^a CIRAD   (France)

Author keywords

Counting distributions; Hidden semi Markov chain; Interval distributions; Renewal theory

Indexed keywords

EID: 2542613982     PISSN: 87550024     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. Poritz, A. B., 'Hidden Markov models: a guided tour', Proc. Int. Conf. on Acoustics, Speech and Signal Processing, New York, 1988, pp. 7-13.
2. Rabiner, L. R., 'A tutorial on hidden Markov models and selected applications in speech recognition', Proc. IEEE, 77(2), 257-285 (1989).
3. Krogh, A., M. Brown, I. S. Mian, K. Sjölander and D. Haussler, 'Hidden Markov models in computational biology: Applications to protein modeling', J. Mol. Biol., 235, 1501-1531 (1994).
4. Durbin, R., S. R. Eddy, A. Krogh and G. J. Mitchison, Biological Sequence Analysis: Probabilistic Models of Proteins and Nucleic Acids, Cambridge University Press, Cambridge, 1998.
5. MacDonald, I. L. and W. Zucchini, Hidden Markov and other Models for Discrete-valued Time Series, Chapman & Hall, London, 1997.
6. Mode, C. J. and G. T. Pickens, 'Computational methods for renewal theory and semi-Markov processes with illustrative examples', Am. Statistician, 42(2), 143-152 (1988).
7. Ferguson, J. D., 'Variable duration models for speech', in J. D. Ferguson (ed.), Proc. Symp. on the Applications of Hidden Markov Models to Text and Speech, Princeton, NJ, 1980, pp. 143-179.
8. Russell, M. J. and R. K. Moore, 'Explicit modeling of state occupancy in hidden Markov models for automatic speech recognition', Proc. Int. Conf. on Acoustics, Speech and Signal Processing, Tampa, FL, 1985, pp. 5-8.
9. Levinson, S. E., 'Continuously variable duration hidden Markov models for automatic speech recognition', Computer Speech Language, 1, 29-45 (1986).
10. Guédon, Y. and C. Cocozza-Thivent, 'Explicit state occupancy modelling by hidden semi-Markov models: application of Derin's scheme', Computer Speech Language, 4, 167-192 (1990).
11. Guédon, Y., 'Review of several stochastic speech unit models', Computer Speech Language, 6, 377-402 (1992).
12. Cox, D. R. and V. Isham, Point Processes, Chapman & Hall, London, 1980.
13. Feller, W., An Introduction to Probability Theory and its Applications, Vol. 1, 3rd edn, John Wiley & Sons, New York, 1968.
14. Gondran, M. and M. Minoux, Graphs and Algorithms, Wiley-Interscience, New York, 1984.
15. Costes, E. and Y. Guédon, 'Modeling the sylleptic branching on one-year-old trunks of apple cultivars', J. Am. Soc. Hort. Sci., 122(1), 53-62 (1997).
16. Guédon, Y. and E. Costes, 'A statistical approach for analyzing sequences in fruit tree architecture', Proc. 5th Int. Symp. on Computer Modelling in Fruit Research and Orchard Management, Wageningen, The Netherlands: Acta Horticulturae, to appear (1999).
17. Guédon, Y., D. Barthélémy and Y. Caraglio, 'Analyzing spatial structures in forest tree architectures', in A. Amaro and M. Tomé (eds), Empirical and Process-based Models for Forest Tree and Stand Growth Simulation, Edições Salamandra, Lisbon, Portugal, 1999.
18. Godin, C., Y. Guédon and E. Costes, 'Exploration of a plant architecture database with the AMAPmod software illustrated on an apple tree hybrid family', Agronomie, 19, 163-184 (1999).
19. Godin, C., Y. Guédon, E. Costes and Y. Caraglio, 'Measuring and analysing plants with the AMAPmod software', in M. T. Michalewicz (ed.), Plants to Ecosystems-Advances in Computational Life Sciences, Vol. 1, CSIRO Publishing, 1997, pp. 53-84.