Estimating the order of moving average models: the max X² method

Bibliography

• Akaike , H. 1970 . Statistical predictor identification . Ann. Inst. Statist. Math , 22 : 203 – 217 .
   Web of Science ®Google Scholar
• Anderson , T.W. 1971 . The Statistical Analysis of Time Series , New York : John Wiley and Sons .
   Google Scholar
• Box , G.E.P. and Jenkins , G.M. 1970 . Time Series Analysis -Forecasting and Control , San Fracisco : Holden-Day .
   Google Scholar
• Box , G.E.P. and Pierce , D.A. 1970 . Distribution of residual autocorrélations in autoregressive-integrated moving average time series models . J. Amer. Statist. Assoc , 65 : 1509 – 1526 .
   Google Scholar
• Cleveland , W.S. 1972 . The inverse autocorrelations of a time series and their applications . Technometrics , 14 : 277 – 298 .
   Web of Science ®Google Scholar
• Clevenson , M.L. 1970 . Asymptotically efficient estimates of the parameters of a moving average time series , Palo Alto, California : Stanford Univ . Tech. Report 15, Dept. of Statist
   Google Scholar
• Durbin , J. 1970 . Testing for serial correlation when some of the regressors are lagged dependent variables . Econometrica , 38 : 410 – 421 .
   Web of Science ®Google Scholar
• Hannan , E.J. 1970 . Multiple Time Series , New York : John Wiley and Sons .
   Google Scholar
• Ibragimov , I.A. 1963 . On estimation of the spectral function of a stationary gaussian process . Theory Prob. Appl , 8 : 366 – 401 .
   Google Scholar
• Jones , R.H. 1975 . Fitting autoregessions . J. Amer. Statist. Assoc , 70 : 590 – 592 .
   Web of Science ®Google Scholar
• Knut , D.E. 1969 . The Art of Computer Programming , Vol. 2 , Reading, Massachusetts : Addison-Wesley Pub .
   Google Scholar
• Mann , H.B. and Wald , A. 1943 . On the statistical treatment of linear stochastic difference equations . Econometrica , 11 : 173 – 220 .
   Web of Science ®Google Scholar
• McClave , J.T. 1974 . A comparison of moving average estimât ion-procedures . Commun. Statist , 3 : 865 – 883 .
   Google Scholar
• McClave , J.T. 1977 . Estimating the order of autoregressive models: the max χ2 method . J. Amer. Statist. Assoc , 3 To appear
   Google Scholar
• Nicholls , D.F. 1972 . On Hannan's estimation of ARMA models . Aust. J. Statist , 14 : 262 – 269 .
   Google Scholar
• Pagan , A.R. 1974 . A generalized approach to the treatment of autocorrelation . Aust. Econ. Papers , 13 : 267 – 280 .
   Web of Science ®Google Scholar
• Pagno , M. 1974 . An algorithm for optimization under linear constraints , Buffalo : State University of New York . Tech. Report 12, Statistical Science
   Google Scholar