Discriminant analysis for non-Gaussian vector stationary processes

Journal of Nonparametric Statistics

Volumn 7, Issue 2, 1996, Pages 187-203

  Kakizawa, Yoshihide ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

Discriminant analysis; Misclassification probability; Non Gaussian robustness; Spectral density matrix; Stationary process

Indexed keywords

EID: 0041655508     PISSN: 10485252     EISSN: None     Source Type: Journal    
DOI: 10.1080/10485259608832698     Document Type: Article

References (12)

1. Alagón, J. (1989) Spectral discrimination for two groups of time series. J. Time Series Anal. 10, 203-214.
2. Anderson, T. W. (1984) An Introduction to Multivariate Statistical Analysis, 2nd ed. New York: Wiley.
3. Dargahi-Noubary, G. R. and Laycock, P. J. (1981) Spectral ratio discriminants and information theory. J. Time Series Anal. 2, 71-86.
4. Hannan, E. J. (1970) Multiple Time Series. New York: Wiley.
5. Hosoya, Y. and Taniguchi, M. (1982) A central limit theorem for stationary processes and the parameter estimation of linear processes. Ann. Statist. 10, 132-153. Correction: (1993) 21, 1115-1117.
6. Kakizawa, Y. (1994) Higher order asymptotic theory for discriminant analysis in Gaussian stationary processes. Department of Mathematical Science (Σ) Preprint Series (S). No. 21. Osaka University.
7. Magnus, J. R. and Neudecker, H. (1988) Matrix Differential Calculus with Applications in Statistics and Econometrics. Chichester: Wiley.
8. Shumway, R. H. (1982) Discriminant analysis for time series. In Handbook of Statistics, Vol.2 (Krishnaiah and Kanal, Eds.), pp. 1-46. North-Holland.
9. Taniguchi, M, Puri, M. L. and Kondo, M. (1996) Nonparametric approach for non-Gaussian vector stationary processes. To appear in J. Mult. Anal.
10. Yuan, J. and Rao, T. S. (1992) Classification of textures using second-order spectra. J. Time Series Anal. 13, 547-562.
11. Zhang, G. and Taniguchi, M. (1994) Discriminant analysis for stationary vector time series. J. Time Series Anal. 15, 117-126.
12. Zhang, G. and Taniguchi, M. (1995) Nonparametric approach for discriminant analysis in time series. J. Nonpara. Statist. 5, 91-101.