Optimal Choice of AR and MA Parts in Autoregressive Moving Average Models

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn PAMI-4, Issue 2, 1982, Pages 99-104

  Kashyap, Rangasami L ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

ARMA models; Bayesian approach; image models; model choice; speech models

Indexed keywords

SIGNAL FILTERING AND PREDICTION;

EID: 0020102315     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.1982.4767213     Document Type: Article

References (22)

1. H. Akaike, “A new look at statistical model identification,” IEEE Trans. Automat. Contr., vol. AC-19, pp. 716-722, Dec. 1974.
2. “A Bayesian extension of the minimum AIC procedure of autoregressive model filtering,” Biometrika, vol. 66, pp. 237-242, 1979.
3. R. L. Kashyap, “Bayesian comparison of dynamic models,” IEEE Trans. Automat. Contr., vol. AC-22, pp. 715-727, Oct. 1977.
4. A. E. P. Box and G. M. Jenkins, Time-Series Analysis. San Francisco, CA: Holden-Day, 1976.
5. R. L. Kashyap and A. R. Rao, Dynamic Stochastic Models from Empirical Data. New York: Academic, 1976.
6. R. Shibata, “Selection of the order of an autoregressive model by Akaike's information criterion,” Biometrika, vol. 63, pp. 117-126, 1976.
7. R. L. Kashyap, “Inconsistency of the AIC rule for estimating the order of AR models,” IEEE Trans. Automat. Contr., vol. AC-25, pp. 996-998, 1980.
8. E. J. Hannan, “The estimation of the order of an ARMA process” Ann. Statist., vol. 8, pp. 1071-1081, 1980.
9. J. Rissanen, “Modelling by shortest data description,” Automatica, vol. 14, pp. 465-471, 1978.
10. G. Schwarz, “Estimating the dimensions of a model,” Ann. Statist., vol. 6, pp. 461-464, 1978.
11. R. L. Kashyap, “Optimal feature selection and decision rules in the classification problems with time series,” IEEE Trans. Inform. Theory, vol. IT-24, pp. 281-288, 1978.
12. J. Makhoul, “Linear prediction: A tutorial review,” Proc. IEEE, vol. 63, 1975.
13. T. L. Fine and W. G. Hwang, “Consistent estimation of system order,” IEEE Trans. Automat. Contr., vol. AC-24, 1979.
14. T. S. Ferguson, Mathematical Statistics. New York: Academic, 1967.
15. A. Erdelyi, Asymptotic Expansion. New York: Dover, 1956.
16. C. R. Rao, Linear Statistical Inference. New York: Wiley, 1965.
17. C. Gueguen and L. L. Scharf, “Exact maximum likelihood identification of ARMA models: A signal processing perspective,” Dep. Elec. Eng., Colorado State Univ., Fort Collins, ONR Rep. 36, 1980.
18. R. L. Kashyap and R. Chellappa, “Stochastic models for closed boundary analysis: Representation and reconstruction,” IEEE Trans. Inform. Theory, vol. IT-27, pp. 627-637, 1981.
19. “Classification of images using features derived from random field models,” in Proc. IFAC Symp. on Theory and Applications of Digital Contr., New Delhi, India, Jan. 1982.
20. E. J. Delp, R. L. Kashyap, and O. R. Mitchell, “Image data compression using autoregressive time series models,” Pattern Recognition, vol. 11, pp. 313-323, 1979.
21. K. Deguchi and I. Morishita, “Texture characterization and texture-based image partitioning using two-dimensional linear estimation techniques,” IEEE Trans. Comput., vol. C-27, pp. 738-745. Aug. 1978.
22. B. H. McCormick and S. N. Jayaramamurthy, “Time series model for texture synthesis,” Int. J. Comput. Inform. Set, vol. 3, pp. 329-343, 1974.