On the selection of subset bilinear time series models: A genetic algorithm approach

Computational Statistics

Volumn 16, Issue 4, 2001, Pages 505-517

  Chen, Cathy W S ^a   Cherng, Tsai Hung ^a   Wu, Berlin ^b  

^a FENG CHIA UNIVERSITY   (Taiwan)

^b NATIONAL CHENGCHI UNIVERSITY   (Taiwan)

Author keywords

Adaptive function; Bilinear time series; Genetic algorithm; Model selection

Indexed keywords

EID: 0035561815     PISSN: 09434062     EISSN: None     Source Type: Journal    
DOI: 10.1007/s180-001-8327-9     Document Type: Article

References (19)

1. Akaike, H. (1973) Information theory and an extension of the maximum likelihood principle, Proc. 2nd International Symposium on Information Theory, Edited by Petrov, B. N. and Csaki, F., Akademiai Kiado, Budapest, 267-281.
2. Akaike, H. (1974) A new look at the statistical model identification, IEEE Transactions on Automatic Control, AC-19, 716-723.
3. Akaike, H. (1978) A Bayesian analysis of the minimum AIC procedure. Annals of The Institute of Statistical Mathematics, 30, 9-14.
4. Chen, C. W. S. (1992) Bayesian analysis of bilinear time series models: a Gibbs sampling approach. Communications in Statistics - Theory and Methods, 21, 3407-3425
5. Davis, L. D. (1991) Handbook of Genetic Algorithm. Van Nostrand Reinhold, New York.
6. Gabr, M. M. and Subba Rao, T. (1981) The estimation and prediction of subset bilinear time series models with applications. Journal of Time Series Analysis, 2, 155-168.
7. Goldberg, D. E. (1989) Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley, MA.
8. Goldberg, D. E. and Deb, K. (1991) A comparative analysis of selection schemes used in genetic algorithms, Computers and Operations Research, 18 275-289.
9. Granger, C. W. J. and Andersen, A. P. (1978) An Introduction to Bilinear Time Series Models, Vandenhoeck and Ruprecht, Gottingen.
10. Holland, J. H. (1975) Adaptation in Natural and Artificial Systems, University of Michigan Press, Ann Arbor.
11. Liu, J. and Blockwell, P. J. (1984). On the general bilinear time series models. J. Appl. Prob., 25, 553-64.
12. Ljung, G. M. and Box, G. E. P. (1978) On a measure of lack of fit in time series models, Biometrika, 65, 297-303.
13. Schwartz, G. (1978) Estimating the dimension of a model, The Annals of Statistics, 6, 461-464.
14. Subba Rao, T. (1981) On the theory of bilinear time series models, Journal of the Royal Statistical Society, Ser. B, 43, 244-255.
15. Subba Rao, T. and Gabr, M. M. (1984) An Introduction to Bispecral Analysis and Bilinear Time Series Models. Springer-Verlag, New York.
16. Syswerda, G. (1989) Uniform Crossover in Genetic Algorithms, Proceedings of the Third International Conference on Genetic Algorithms,
17. Wei, W. W. S. (1990) Time Series Analysis: Univariate and Multivariate Methods, Addison-Wesley, MA.
18. Whitley (1994) A genetic algorithm tutorial. Statistics and Computing, 4, 63-85.
19. Wu, B. and Shih, N.-H. (1992) On the identification problem for bilinear time series models. Journal of Statistical Computation and Simulation, 43, 129-161.