First Investigation of a signal (time series) - interactive [AutoCov,AutoCorr,ARPMX,E,CRITERIA,MOPS]=invest1(Y,Pmax,show); Y time series Pmax maximal order (optional) show optional; if given the parameters are shown AutoCov Autocorrelation AutoCorr normalized Autocorrelation PartACF Partial Autocorrelation E Error function E(p) CRITERIA curves of the various (see below) criteria, MOPS=[optFPE optAIC optBIC optSBC optMDL optCAT optPHI]; optimal model order according to various criteria FPE Final Prediction Error (Kay, 1987) AIC Akaike Information Criterion (Marple, 1987) BIC Bayesian Akaike Information Criterion (Wei, 1994) SBC Schwartz's Bayesian Criterion (Wei, 1994) MDL Minimal Description length Criterion (Marple, 1987) CAT Parzen's CAT Criterion (Wei, 1994) PHI Phi criterion (Pukkila et al. 1988) minE order where E is minimal REFERENCES: P.J. Brockwell and R.A. Davis "Time Series: Theory and Methods", 2nd ed. Springer, 1991. S. Haykin "Adaptive Filter Theory" 3ed. Prentice Hall, 1996. M.B. Priestley "Spectral Analysis and Time Series" Academic Press, 1981. C.E. Shannon and W. Weaver "The mathematical theory of communication" University of Illinois Press, Urbana 1949 (reprint 1963). W.S. Wei "Time Series Analysis" Addison Wesley, 1990.
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